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Finding the Fourth Proportional to 659,712.90, 989,569.35 and 431,390.10

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Solution

The fourth proportional to 659,712.90, 989,569.35 and 431,390.10 is: 647,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,712.90 : 989,569.35 = 431,390.10 : x
  2. Step 2: Convert to fraction form
    659,712.90/989,569.35 = 431,390.10/x
  3. Step 3: Cross multiply
    659,712.90x = 989,569.35 × 431,390.10
  4. Step 4: Simplify right side
    659,712.90x = 426,890,420,853.44
  5. Step 5: Solve for x
    x = 426,890,420,853.44/659,712.90
  6. Step 6: Final answer
    x = 647,085.15

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.