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Finding the Fourth Proportional to 477,359.86, 715,928.91 and 140,310.34

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Solution

The fourth proportional to 477,359.86, 715,928.91 and 140,310.34 is: 210,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,359.86 : 715,928.91 = 140,310.34 : x
  2. Step 2: Convert to fraction form
    477,359.86/715,928.91 = 140,310.34/x
  3. Step 3: Cross multiply
    477,359.86x = 715,928.91 × 140,310.34
  4. Step 4: Simplify right side
    477,359.86x = 100,452,228,777.93
  5. Step 5: Solve for x
    x = 100,452,228,777.93/477,359.86
  6. Step 6: Final answer
    x = 210,432.92

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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.