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Finding the Fourth Proportional to 400,781.44, 553,079.10 and 217,022.01

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Solution

The fourth proportional to 400,781.44, 553,079.10 and 217,022.01 is: 299,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,781.44 : 553,079.10 = 217,022.01 : x
  2. Step 2: Convert to fraction form
    400,781.44/553,079.10 = 217,022.01/x
  3. Step 3: Cross multiply
    400,781.44x = 553,079.10 × 217,022.01
  4. Step 4: Simplify right side
    400,781.44x = 120,030,337,970.99
  5. Step 5: Solve for x
    x = 120,030,337,970.99/400,781.44
  6. Step 6: Final answer
    x = 299,490.76

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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.