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Finding the Fourth Proportional to 398,746, 550,261.92 and 217,459.36

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Solution

The fourth proportional to 398,746, 550,261.92 and 217,459.36 is: 300,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,746 : 550,261.92 = 217,459.36 : x
  2. Step 2: Convert to fraction form
    398,746/550,261.92 = 217,459.36/x
  3. Step 3: Cross multiply
    398,746x = 550,261.92 × 217,459.36
  4. Step 4: Simplify right side
    398,746x = 119,659,604,955.57
  5. Step 5: Solve for x
    x = 119,659,604,955.57/398,746
  6. Step 6: Final answer
    x = 300,089.79

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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.