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Finding the Fourth Proportional to 614,821.10, 922,231.65 and 434,417.90

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Solution

The fourth proportional to 614,821.10, 922,231.65 and 434,417.90 is: 651,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,821.10 : 922,231.65 = 434,417.90 : x
  2. Step 2: Convert to fraction form
    614,821.10/922,231.65 = 434,417.90/x
  3. Step 3: Cross multiply
    614,821.10x = 922,231.65 × 434,417.90
  4. Step 4: Simplify right side
    614,821.10x = 400,633,936,706.54
  5. Step 5: Solve for x
    x = 400,633,936,706.54/614,821.10
  6. Step 6: Final answer
    x = 651,626.85

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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.