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Finding the Fourth Proportional to 477,139.68, 715,712.58 and 140,178.96

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Solution

The fourth proportional to 477,139.68, 715,712.58 and 140,178.96 is: 210,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,139.68 : 715,712.58 = 140,178.96 : x
  2. Step 2: Convert to fraction form
    477,139.68/715,712.58 = 140,178.96/x
  3. Step 3: Cross multiply
    477,139.68x = 715,712.58 × 140,178.96
  4. Step 4: Simplify right side
    477,139.68x = 100,327,845,123.32
  5. Step 5: Solve for x
    x = 100,327,845,123.32/477,139.68
  6. Step 6: Final answer
    x = 210,269.34

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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.