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Finding the Fourth Proportional to 437,426.47, 656,139.66 and 105,002.47

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Solution

The fourth proportional to 437,426.47, 656,139.66 and 105,002.47 is: 157,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,426.47 : 656,139.66 = 105,002.47 : x
  2. Step 2: Convert to fraction form
    437,426.47/656,139.66 = 105,002.47/x
  3. Step 3: Cross multiply
    437,426.47x = 656,139.66 × 105,002.47
  4. Step 4: Simplify right side
    437,426.47x = 68,896,284,964.96
  5. Step 5: Solve for x
    x = 68,896,284,964.96/437,426.47
  6. Step 6: Final answer
    x = 157,503.69

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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.