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Finding the Fourth Proportional to 417,864.18, 626,840.82 and 133,455.36

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Solution

The fourth proportional to 417,864.18, 626,840.82 and 133,455.36 is: 200,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,864.18 : 626,840.82 = 133,455.36 : x
  2. Step 2: Convert to fraction form
    417,864.18/626,840.82 = 133,455.36/x
  3. Step 3: Cross multiply
    417,864.18x = 626,840.82 × 133,455.36
  4. Step 4: Simplify right side
    417,864.18x = 83,655,267,295.80
  5. Step 5: Solve for x
    x = 83,655,267,295.80/417,864.18
  6. Step 6: Final answer
    x = 200,197.27

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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.