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Finding the Fourth Proportional to 318,319.92, 477,357.15 and 140,729.46

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Solution

The fourth proportional to 318,319.92, 477,357.15 and 140,729.46 is: 211,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,319.92 : 477,357.15 = 140,729.46 : x
  2. Step 2: Convert to fraction form
    318,319.92/477,357.15 = 140,729.46/x
  3. Step 3: Cross multiply
    318,319.92x = 477,357.15 × 140,729.46
  4. Step 4: Simplify right side
    318,319.92x = 67,178,213,946.64
  5. Step 5: Solve for x
    x = 67,178,213,946.64/318,319.92
  6. Step 6: Final answer
    x = 211,039.93

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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.