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Finding the Fourth Proportional to 472,382.12, 708,084.86 and 219,456.25

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Solution

The fourth proportional to 472,382.12, 708,084.86 and 219,456.25 is: 328,957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,382.12 : 708,084.86 = 219,456.25 : x
  2. Step 2: Convert to fraction form
    472,382.12/708,084.86 = 219,456.25/x
  3. Step 3: Cross multiply
    472,382.12x = 708,084.86 × 219,456.25
  4. Step 4: Simplify right side
    472,382.12x = 155,393,646,835.80
  5. Step 5: Solve for x
    x = 155,393,646,835.80/472,382.12
  6. Step 6: Final answer
    x = 328,957.51

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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.