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Finding the Fourth Proportional to 512,061.60, 706,638.96 and 282,620.64

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Solution

The fourth proportional to 512,061.60, 706,638.96 and 282,620.64 is: 390,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,061.60 : 706,638.96 = 282,620.64 : x
  2. Step 2: Convert to fraction form
    512,061.60/706,638.96 = 282,620.64/x
  3. Step 3: Cross multiply
    512,061.60x = 706,638.96 × 282,620.64
  4. Step 4: Simplify right side
    512,061.60x = 199,710,755,124.13
  5. Step 5: Solve for x
    x = 199,710,755,124.13/512,061.60
  6. Step 6: Final answer
    x = 390,013.15

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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.