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Finding the Fourth Proportional to 425,409.56, 587,069.13 and 234,429.78

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Solution

The fourth proportional to 425,409.56, 587,069.13 and 234,429.78 is: 323,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,409.56 : 587,069.13 = 234,429.78 : x
  2. Step 2: Convert to fraction form
    425,409.56/587,069.13 = 234,429.78/x
  3. Step 3: Cross multiply
    425,409.56x = 587,069.13 × 234,429.78
  4. Step 4: Simplify right side
    425,409.56x = 137,626,486,990.69
  5. Step 5: Solve for x
    x = 137,626,486,990.69/425,409.56
  6. Step 6: Final answer
    x = 323,515.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.