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Finding the Fourth Proportional to 390,178.48, 585,288.12 and 123,959.92

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Solution

The fourth proportional to 390,178.48, 585,288.12 and 123,959.92 is: 185,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,178.48 : 585,288.12 = 123,959.92 : x
  2. Step 2: Convert to fraction form
    390,178.48/585,288.12 = 123,959.92/x
  3. Step 3: Cross multiply
    390,178.48x = 585,288.12 × 123,959.92
  4. Step 4: Simplify right side
    390,178.48x = 72,552,268,532.15
  5. Step 5: Solve for x
    x = 72,552,268,532.15/390,178.48
  6. Step 6: Final answer
    x = 185,946.36

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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.