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Finding the Fourth Proportional to 513,963, 709,274.54 and 284,524.12

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Solution

The fourth proportional to 513,963, 709,274.54 and 284,524.12 is: 392,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,963 : 709,274.54 = 284,524.12 : x
  2. Step 2: Convert to fraction form
    513,963/709,274.54 = 284,524.12/x
  3. Step 3: Cross multiply
    513,963x = 709,274.54 × 284,524.12
  4. Step 4: Simplify right side
    513,963x = 201,805,714,331.91
  5. Step 5: Solve for x
    x = 201,805,714,331.91/513,963
  6. Step 6: Final answer
    x = 392,646.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.