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Finding the Fourth Proportional to 384,903.38, 577,207.47 and 132,136.76

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Solution

The fourth proportional to 384,903.38, 577,207.47 and 132,136.76 is: 198,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,903.38 : 577,207.47 = 132,136.76 : x
  2. Step 2: Convert to fraction form
    384,903.38/577,207.47 = 132,136.76/x
  3. Step 3: Cross multiply
    384,903.38x = 577,207.47 × 132,136.76
  4. Step 4: Simplify right side
    384,903.38x = 76,270,324,933.60
  5. Step 5: Solve for x
    x = 76,270,324,933.60/384,903.38
  6. Step 6: Final answer
    x = 198,154.47

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1.5x scale

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.