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Finding the Fourth Proportional to 416,666.58, 575,000.80 and 225,680

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Solution

The fourth proportional to 416,666.58, 575,000.80 and 225,680 is: 311,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,666.58 : 575,000.80 = 225,680 : x
  2. Step 2: Convert to fraction form
    416,666.58/575,000.80 = 225,680/x
  3. Step 3: Cross multiply
    416,666.58x = 575,000.80 × 225,680
  4. Step 4: Simplify right side
    416,666.58x = 129,766,180,544.00
  5. Step 5: Solve for x
    x = 129,766,180,544.00/416,666.58
  6. Step 6: Final answer
    x = 311,438.90

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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.