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Finding the Fourth Proportional to 390,120.86, 585,254.28 and 123,948.38

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Solution

The fourth proportional to 390,120.86, 585,254.28 and 123,948.38 is: 185,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,120.86 : 585,254.28 = 123,948.38 : x
  2. Step 2: Convert to fraction form
    390,120.86/585,254.28 = 123,948.38/x
  3. Step 3: Cross multiply
    390,120.86x = 585,254.28 × 123,948.38
  4. Step 4: Simplify right side
    390,120.86x = 72,541,319,894.07
  5. Step 5: Solve for x
    x = 72,541,319,894.07/390,120.86
  6. Step 6: Final answer
    x = 185,945.76

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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.