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Finding the Fourth Proportional to 416,419.57, 574,660.29 and 225,432.50

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Solution

The fourth proportional to 416,419.57, 574,660.29 and 225,432.50 is: 311,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,419.57 : 574,660.29 = 225,432.50 : x
  2. Step 2: Convert to fraction form
    416,419.57/574,660.29 = 225,432.50/x
  3. Step 3: Cross multiply
    416,419.57x = 574,660.29 × 225,432.50
  4. Step 4: Simplify right side
    416,419.57x = 129,547,106,670.80
  5. Step 5: Solve for x
    x = 129,547,106,670.80/416,419.57
  6. Step 6: Final answer
    x = 311,097.55

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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.