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Finding the Fourth Proportional to 521,108.60, 781,662.90 and 307,657.40

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Solution

The fourth proportional to 521,108.60, 781,662.90 and 307,657.40 is: 461,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,108.60 : 781,662.90 = 307,657.40 : x
  2. Step 2: Convert to fraction form
    521,108.60/781,662.90 = 307,657.40/x
  3. Step 3: Cross multiply
    521,108.60x = 781,662.90 × 307,657.40
  4. Step 4: Simplify right side
    521,108.60x = 240,484,375,490.46
  5. Step 5: Solve for x
    x = 240,484,375,490.46/521,108.60
  6. Step 6: Final answer
    x = 461,486.10

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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.