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Finding the Fourth Proportional to 400,765.54, 553,057.28 and 217,006.12

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Solution

The fourth proportional to 400,765.54, 553,057.28 and 217,006.12 is: 299,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,765.54 : 553,057.28 = 217,006.12 : x
  2. Step 2: Convert to fraction form
    400,765.54/553,057.28 = 217,006.12/x
  3. Step 3: Cross multiply
    400,765.54x = 553,057.28 × 217,006.12
  4. Step 4: Simplify right side
    400,765.54x = 120,016,816,111.28
  5. Step 5: Solve for x
    x = 120,016,816,111.28/400,765.54
  6. Step 6: Final answer
    x = 299,468.90

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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.