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Finding the Fourth Proportional to 390,127.20, 585,190.80 and 123,908.55

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Solution

The fourth proportional to 390,127.20, 585,190.80 and 123,908.55 is: 185,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,127.20 : 585,190.80 = 123,908.55 : x
  2. Step 2: Convert to fraction form
    390,127.20/585,190.80 = 123,908.55/x
  3. Step 3: Cross multiply
    390,127.20x = 585,190.80 × 123,908.55
  4. Step 4: Simplify right side
    390,127.20x = 72,510,143,501.34
  5. Step 5: Solve for x
    x = 72,510,143,501.34/390,127.20
  6. Step 6: Final answer
    x = 185,862.83

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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.