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Finding the Fourth Proportional to 437,428.47, 656,142.66 and 105,004.47

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Solution

The fourth proportional to 437,428.47, 656,142.66 and 105,004.47 is: 157,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,428.47 : 656,142.66 = 105,004.47 : x
  2. Step 2: Convert to fraction form
    437,428.47/656,142.66 = 105,004.47/x
  3. Step 3: Cross multiply
    437,428.47x = 656,142.66 × 105,004.47
  4. Step 4: Simplify right side
    437,428.47x = 68,897,912,257.69
  5. Step 5: Solve for x
    x = 68,897,912,257.69/437,428.47
  6. Step 6: Final answer
    x = 157,506.69

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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.