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Finding the Fourth Proportional to 398,870.90, 550,454.13 and 229,139.06

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Solution

The fourth proportional to 398,870.90, 550,454.13 and 229,139.06 is: 316,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,870.90 : 550,454.13 = 229,139.06 : x
  2. Step 2: Convert to fraction form
    398,870.90/550,454.13 = 229,139.06/x
  3. Step 3: Cross multiply
    398,870.90x = 550,454.13 × 229,139.06
  4. Step 4: Simplify right side
    398,870.90x = 126,130,541,921.32
  5. Step 5: Solve for x
    x = 126,130,541,921.32/398,870.90
  6. Step 6: Final answer
    x = 316,218.96

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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.