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Finding the Fourth Proportional to 417,418.56, 575,854.02 and 281,402.82

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Solution

The fourth proportional to 417,418.56, 575,854.02 and 281,402.82 is: 388,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,418.56 : 575,854.02 = 281,402.82 : x
  2. Step 2: Convert to fraction form
    417,418.56/575,854.02 = 281,402.82/x
  3. Step 3: Cross multiply
    417,418.56x = 575,854.02 × 281,402.82
  4. Step 4: Simplify right side
    417,418.56x = 162,046,945,136.34
  5. Step 5: Solve for x
    x = 162,046,945,136.34/417,418.56
  6. Step 6: Final answer
    x = 388,212.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.