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Finding the Fourth Proportional to 477,358.82, 715,937.40 and 140,307.80

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Solution

The fourth proportional to 477,358.82, 715,937.40 and 140,307.80 is: 210,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,358.82 : 715,937.40 = 140,307.80 : x
  2. Step 2: Convert to fraction form
    477,358.82/715,937.40 = 140,307.80/x
  3. Step 3: Cross multiply
    477,358.82x = 715,937.40 × 140,307.80
  4. Step 4: Simplify right side
    477,358.82x = 100,451,601,531.72
  5. Step 5: Solve for x
    x = 100,451,601,531.72/477,358.82
  6. Step 6: Final answer
    x = 210,432.06

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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.