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Finding the Fourth Proportional to 437,564.70, 656,347.05 and 105,140.70

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Solution

The fourth proportional to 437,564.70, 656,347.05 and 105,140.70 is: 157,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,564.70 : 656,347.05 = 105,140.70 : x
  2. Step 2: Convert to fraction form
    437,564.70/656,347.05 = 105,140.70/x
  3. Step 3: Cross multiply
    437,564.70x = 656,347.05 × 105,140.70
  4. Step 4: Simplify right side
    437,564.70x = 69,008,788,279.94
  5. Step 5: Solve for x
    x = 69,008,788,279.94/437,564.70
  6. Step 6: Final answer
    x = 157,711.05

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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.