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Finding the Fourth Proportional to 457,689.60, 686,534.40 and 208,857.60

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Solution

The fourth proportional to 457,689.60, 686,534.40 and 208,857.60 is: 313,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,689.60 : 686,534.40 = 208,857.60 : x
  2. Step 2: Convert to fraction form
    457,689.60/686,534.40 = 208,857.60/x
  3. Step 3: Cross multiply
    457,689.60x = 686,534.40 × 208,857.60
  4. Step 4: Simplify right side
    457,689.60x = 143,387,927,101.44
  5. Step 5: Solve for x
    x = 143,387,927,101.44/457,689.60
  6. Step 6: Final answer
    x = 313,286.40

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Similar ratio
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1.5x scale

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.