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Finding the Fourth Proportional to 392,681.45, 588,477.17 and 178,926.98

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Solution

The fourth proportional to 392,681.45, 588,477.17 and 178,926.98 is: 268,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,681.45 : 588,477.17 = 178,926.98 : x
  2. Step 2: Convert to fraction form
    392,681.45/588,477.17 = 178,926.98/x
  3. Step 3: Cross multiply
    392,681.45x = 588,477.17 × 178,926.98
  4. Step 4: Simplify right side
    392,681.45x = 105,294,440,331.98
  5. Step 5: Solve for x
    x = 105,294,440,331.98/392,681.45
  6. Step 6: Final answer
    x = 268,142.13

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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.