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Finding the Fourth Proportional to 518,534, 715,577.40 and 280,070

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Solution

The fourth proportional to 518,534, 715,577.40 and 280,070 is: 386,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,534 : 715,577.40 = 280,070 : x
  2. Step 2: Convert to fraction form
    518,534/715,577.40 = 280,070/x
  3. Step 3: Cross multiply
    518,534x = 715,577.40 × 280,070
  4. Step 4: Simplify right side
    518,534x = 200,411,762,418
  5. Step 5: Solve for x
    x = 200,411,762,418/518,534
  6. Step 6: Final answer
    x = 386,496.86

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