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Finding the Fourth Proportional to 399,070.26, 550,718.10 and 229,304.34

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Solution

The fourth proportional to 399,070.26, 550,718.10 and 229,304.34 is: 316,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,070.26 : 550,718.10 = 229,304.34 : x
  2. Step 2: Convert to fraction form
    399,070.26/550,718.10 = 229,304.34/x
  3. Step 3: Cross multiply
    399,070.26x = 550,718.10 × 229,304.34
  4. Step 4: Simplify right side
    399,070.26x = 126,282,050,446.55
  5. Step 5: Solve for x
    x = 126,282,050,446.55/399,070.26
  6. Step 6: Final answer
    x = 316,440.64

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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.