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Finding the Fourth Proportional to 659,461.90, 989,192.85 and 431,139.10

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Solution

The fourth proportional to 659,461.90, 989,192.85 and 431,139.10 is: 646,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,461.90 : 989,192.85 = 431,139.10 : x
  2. Step 2: Convert to fraction form
    659,461.90/989,192.85 = 431,139.10/x
  3. Step 3: Cross multiply
    659,461.90x = 989,192.85 × 431,139.10
  4. Step 4: Simplify right side
    659,461.90x = 426,479,715,075.44
  5. Step 5: Solve for x
    x = 426,479,715,075.44/659,461.90
  6. Step 6: Final answer
    x = 646,708.65

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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.