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Finding the Fourth Proportional to 392,678.40, 541,881.76 and 239,972.14

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Solution

The fourth proportional to 392,678.40, 541,881.76 and 239,972.14 is: 331,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,678.40 : 541,881.76 = 239,972.14 : x
  2. Step 2: Convert to fraction form
    392,678.40/541,881.76 = 239,972.14/x
  3. Step 3: Cross multiply
    392,678.40x = 541,881.76 × 239,972.14
  4. Step 4: Simplify right side
    392,678.40x = 130,036,525,574.17
  5. Step 5: Solve for x
    x = 130,036,525,574.17/392,678.40
  6. Step 6: Final answer
    x = 331,152.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.