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Finding the Fourth Proportional to 457,948.60, 686,602.90 and 270,863.80

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Solution

The fourth proportional to 457,948.60, 686,602.90 and 270,863.80 is: 406,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,948.60 : 686,602.90 = 270,863.80 : x
  2. Step 2: Convert to fraction form
    457,948.60/686,602.90 = 270,863.80/x
  3. Step 3: Cross multiply
    457,948.60x = 686,602.90 × 270,863.80
  4. Step 4: Simplify right side
    457,948.60x = 185,975,870,585.02
  5. Step 5: Solve for x
    x = 185,975,870,585.02/457,948.60
  6. Step 6: Final answer
    x = 406,106.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.