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Finding the Fourth Proportional to 390,469.08, 585,598.52 and 137,716.76

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Solution

The fourth proportional to 390,469.08, 585,598.52 and 137,716.76 is: 206,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,469.08 : 585,598.52 = 137,716.76 : x
  2. Step 2: Convert to fraction form
    390,469.08/585,598.52 = 137,716.76/x
  3. Step 3: Cross multiply
    390,469.08x = 585,598.52 × 137,716.76
  4. Step 4: Simplify right side
    390,469.08x = 80,646,730,835.20
  5. Step 5: Solve for x
    x = 80,646,730,835.20/390,469.08
  6. Step 6: Final answer
    x = 206,538.07

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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.