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Finding the Fourth Proportional to 510,689, 704,755.68 and 284,339.36

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Solution

The fourth proportional to 510,689, 704,755.68 and 284,339.36 is: 392,391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,689 : 704,755.68 = 284,339.36 : x
  2. Step 2: Convert to fraction form
    510,689/704,755.68 = 284,339.36/x
  3. Step 3: Cross multiply
    510,689x = 704,755.68 × 284,339.36
  4. Step 4: Simplify right side
    510,689x = 200,389,779,007.57
  5. Step 5: Solve for x
    x = 200,389,779,007.57/510,689
  6. Step 6: Final answer
    x = 392,391.02

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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.