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Finding the Fourth Proportional to 417,637.20, 626,801.40 and 193,342.80

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Solution

The fourth proportional to 417,637.20, 626,801.40 and 193,342.80 is: 290,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,637.20 : 626,801.40 = 193,342.80 : x
  2. Step 2: Convert to fraction form
    417,637.20/626,801.40 = 193,342.80/x
  3. Step 3: Cross multiply
    417,637.20x = 626,801.40 × 193,342.80
  4. Step 4: Simplify right side
    417,637.20x = 121,187,537,719.92
  5. Step 5: Solve for x
    x = 121,187,537,719.92/417,637.20
  6. Step 6: Final answer
    x = 290,174.19

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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.