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Finding the Fourth Proportional to 659,142.80, 989,880.60 and 509,746.40

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Solution

The fourth proportional to 659,142.80, 989,880.60 and 509,746.40 is: 765,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,142.80 : 989,880.60 = 509,746.40 : x
  2. Step 2: Convert to fraction form
    659,142.80/989,880.60 = 509,746.40/x
  3. Step 3: Cross multiply
    659,142.80x = 989,880.60 × 509,746.40
  4. Step 4: Simplify right side
    659,142.80x = 504,588,072,279.84
  5. Step 5: Solve for x
    x = 504,588,072,279.84/659,142.80
  6. Step 6: Final answer
    x = 765,521.63

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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.