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Finding the Fourth Proportional to 392,160, 588,240 and 96,672

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Solution

The fourth proportional to 392,160, 588,240 and 96,672 is: 145,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,160 : 588,240 = 96,672 : x
  2. Step 2: Convert to fraction form
    392,160/588,240 = 96,672/x
  3. Step 3: Cross multiply
    392,160x = 588,240 × 96,672
  4. Step 4: Simplify right side
    392,160x = 56,866,337,280
  5. Step 5: Solve for x
    x = 56,866,337,280/392,160
  6. Step 6: Final answer
    x = 145,008

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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.