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Finding the Fourth Proportional to 442,752, 664,128 and 147,264

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Solution

The fourth proportional to 442,752, 664,128 and 147,264 is: 220,896

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,752 : 664,128 = 147,264 : x
  2. Step 2: Convert to fraction form
    442,752/664,128 = 147,264/x
  3. Step 3: Cross multiply
    442,752x = 664,128 × 147,264
  4. Step 4: Simplify right side
    442,752x = 97,802,145,792
  5. Step 5: Solve for x
    x = 97,802,145,792/442,752
  6. Step 6: Final answer
    x = 220,896

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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.