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Finding the Fourth Proportional to 390,247.80, 585,247.14 and 123,946.02

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Solution

The fourth proportional to 390,247.80, 585,247.14 and 123,946.02 is: 185,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,247.80 : 585,247.14 = 123,946.02 : x
  2. Step 2: Convert to fraction form
    390,247.80/585,247.14 = 123,946.02/x
  3. Step 3: Cross multiply
    390,247.80x = 585,247.14 × 123,946.02
  4. Step 4: Simplify right side
    390,247.80x = 72,539,053,719.38
  5. Step 5: Solve for x
    x = 72,539,053,719.38/390,247.80
  6. Step 6: Final answer
    x = 185,879.47

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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.