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Finding the Fourth Proportional to 510,974.08, 766,402.80 and 136,967.92

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Solution

The fourth proportional to 510,974.08, 766,402.80 and 136,967.92 is: 205,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,974.08 : 766,402.80 = 136,967.92 : x
  2. Step 2: Convert to fraction form
    510,974.08/766,402.80 = 136,967.92/x
  3. Step 3: Cross multiply
    510,974.08x = 766,402.80 × 136,967.92
  4. Step 4: Simplify right side
    510,974.08x = 104,972,597,398.18
  5. Step 5: Solve for x
    x = 104,972,597,398.18/510,974.08
  6. Step 6: Final answer
    x = 205,436.25

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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.