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Finding the Fourth Proportional to 645,841.12, 968,891.28 and 225,004

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Solution

The fourth proportional to 645,841.12, 968,891.28 and 225,004 is: 337,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,841.12 : 968,891.28 = 225,004 : x
  2. Step 2: Convert to fraction form
    645,841.12/968,891.28 = 225,004/x
  3. Step 3: Cross multiply
    645,841.12x = 968,891.28 × 225,004
  4. Step 4: Simplify right side
    645,841.12x = 218,004,413,565.12
  5. Step 5: Solve for x
    x = 218,004,413,565.12/645,841.12
  6. Step 6: Final answer
    x = 337,551.15

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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.