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Finding the Fourth Proportional to 531,498.11, 797,707.78 and 278,956.98

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Solution

The fourth proportional to 531,498.11, 797,707.78 and 278,956.98 is: 418,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,498.11 : 797,707.78 = 278,956.98 : x
  2. Step 2: Convert to fraction form
    531,498.11/797,707.78 = 278,956.98/x
  3. Step 3: Cross multiply
    531,498.11x = 797,707.78 × 278,956.98
  4. Step 4: Simplify right side
    531,498.11x = 222,526,152,533.91
  5. Step 5: Solve for x
    x = 222,526,152,533.91/531,498.11
  6. Step 6: Final answer
    x = 418,677.23

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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.