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Finding the Fourth Proportional to 398,744.42, 550,265.66 and 217,455.90

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Solution

The fourth proportional to 398,744.42, 550,265.66 and 217,455.90 is: 300,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,744.42 : 550,265.66 = 217,455.90 : x
  2. Step 2: Convert to fraction form
    398,744.42/550,265.66 = 217,455.90/x
  3. Step 3: Cross multiply
    398,744.42x = 550,265.66 × 217,455.90
  4. Step 4: Simplify right side
    398,744.42x = 119,658,514,334.39
  5. Step 5: Solve for x
    x = 119,658,514,334.39/398,744.42
  6. Step 6: Final answer
    x = 300,088.25

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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.