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Finding the Fourth Proportional to 415,777.80, 623,681.10 and 131,471.40

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Solution

The fourth proportional to 415,777.80, 623,681.10 and 131,471.40 is: 197,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,777.80 : 623,681.10 = 131,471.40 : x
  2. Step 2: Convert to fraction form
    415,777.80/623,681.10 = 131,471.40/x
  3. Step 3: Cross multiply
    415,777.80x = 623,681.10 × 131,471.40
  4. Step 4: Simplify right side
    415,777.80x = 81,996,227,370.54
  5. Step 5: Solve for x
    x = 81,996,227,370.54/415,777.80
  6. Step 6: Final answer
    x = 197,211.65

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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.