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Finding the Fourth Proportional to 437,638.52, 656,457.78 and 105,214.52

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Solution

The fourth proportional to 437,638.52, 656,457.78 and 105,214.52 is: 157,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,638.52 : 656,457.78 = 105,214.52 : x
  2. Step 2: Convert to fraction form
    437,638.52/656,457.78 = 105,214.52/x
  3. Step 3: Cross multiply
    437,638.52x = 656,457.78 × 105,214.52
  4. Step 4: Simplify right side
    437,638.52x = 69,068,890,222.97
  5. Step 5: Solve for x
    x = 69,068,890,222.97/437,638.52
  6. Step 6: Final answer
    x = 157,821.78

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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.