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Finding the Fourth Proportional to 437,301.66, 656,005.05 and 413,386.82

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Solution

The fourth proportional to 437,301.66, 656,005.05 and 413,386.82 is: 620,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,301.66 : 656,005.05 = 413,386.82 : x
  2. Step 2: Convert to fraction form
    437,301.66/656,005.05 = 413,386.82/x
  3. Step 3: Cross multiply
    437,301.66x = 656,005.05 × 413,386.82
  4. Step 4: Simplify right side
    437,301.66x = 271,183,836,176.48
  5. Step 5: Solve for x
    x = 271,183,836,176.48/437,301.66
  6. Step 6: Final answer
    x = 620,129.90

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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.