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Finding the Fourth Proportional to 398,643.90, 550,131.18 and 217,358.82

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Solution

The fourth proportional to 398,643.90, 550,131.18 and 217,358.82 is: 299,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,643.90 : 550,131.18 = 217,358.82 : x
  2. Step 2: Convert to fraction form
    398,643.90/550,131.18 = 217,358.82/x
  3. Step 3: Cross multiply
    398,643.90x = 550,131.18 × 217,358.82
  4. Step 4: Simplify right side
    398,643.90x = 119,575,864,130.01
  5. Step 5: Solve for x
    x = 119,575,864,130.01/398,643.90
  6. Step 6: Final answer
    x = 299,956.59

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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.