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Finding the Fourth Proportional to 521,108.10, 781,662.15 and 307,656.90

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Solution

The fourth proportional to 521,108.10, 781,662.15 and 307,656.90 is: 461,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,108.10 : 781,662.15 = 307,656.90 : x
  2. Step 2: Convert to fraction form
    521,108.10/781,662.15 = 307,656.90/x
  3. Step 3: Cross multiply
    521,108.10x = 781,662.15 × 307,656.90
  4. Step 4: Simplify right side
    521,108.10x = 240,483,753,916.34
  5. Step 5: Solve for x
    x = 240,483,753,916.34/521,108.10
  6. Step 6: Final answer
    x = 461,485.35

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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.