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Finding the Fourth Proportional to 408,001.47, 612,106.02 and 239,664.17

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Solution

The fourth proportional to 408,001.47, 612,106.02 and 239,664.17 is: 359,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,001.47 : 612,106.02 = 239,664.17 : x
  2. Step 2: Convert to fraction form
    408,001.47/612,106.02 = 239,664.17/x
  3. Step 3: Cross multiply
    408,001.47x = 612,106.02 × 239,664.17
  4. Step 4: Simplify right side
    408,001.47x = 146,699,878,174.77
  5. Step 5: Solve for x
    x = 146,699,878,174.77/408,001.47
  6. Step 6: Final answer
    x = 359,557.23

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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.