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Finding the Fourth Proportional to 390,177.42, 585,313.02 and 137,405.66

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Solution

The fourth proportional to 390,177.42, 585,313.02 and 137,405.66 is: 206,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,177.42 : 585,313.02 = 137,405.66 : x
  2. Step 2: Convert to fraction form
    390,177.42/585,313.02 = 137,405.66/x
  3. Step 3: Cross multiply
    390,177.42x = 585,313.02 × 137,405.66
  4. Step 4: Simplify right side
    390,177.42x = 80,425,321,819.69
  5. Step 5: Solve for x
    x = 80,425,321,819.69/390,177.42
  6. Step 6: Final answer
    x = 206,125.00

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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.