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Finding the Fourth Proportional to 398,665.53, 550,154.43 and 217,377

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Solution

The fourth proportional to 398,665.53, 550,154.43 and 217,377 is: 299,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,665.53 : 550,154.43 = 217,377 : x
  2. Step 2: Convert to fraction form
    398,665.53/550,154.43 = 217,377/x
  3. Step 3: Cross multiply
    398,665.53x = 550,154.43 × 217,377
  4. Step 4: Simplify right side
    398,665.53x = 119,590,919,530.11
  5. Step 5: Solve for x
    x = 119,590,919,530.11/398,665.53
  6. Step 6: Final answer
    x = 299,978.08

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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.