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Finding the Fourth Proportional to 457,266.60, 686,288.70 and 204,935.40

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Solution

The fourth proportional to 457,266.60, 686,288.70 and 204,935.40 is: 307,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,266.60 : 686,288.70 = 204,935.40 : x
  2. Step 2: Convert to fraction form
    457,266.60/686,288.70 = 204,935.40/x
  3. Step 3: Cross multiply
    457,266.60x = 686,288.70 × 204,935.40
  4. Step 4: Simplify right side
    457,266.60x = 140,644,849,249.98
  5. Step 5: Solve for x
    x = 140,644,849,249.98/457,266.60
  6. Step 6: Final answer
    x = 307,577.35

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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.