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Finding the Fourth Proportional to 457,871.40, 686,807.10 and 440,375.40

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Solution

The fourth proportional to 457,871.40, 686,807.10 and 440,375.40 is: 660,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,871.40 : 686,807.10 = 440,375.40 : x
  2. Step 2: Convert to fraction form
    457,871.40/686,807.10 = 440,375.40/x
  3. Step 3: Cross multiply
    457,871.40x = 686,807.10 × 440,375.40
  4. Step 4: Simplify right side
    457,871.40x = 302,452,951,385.34
  5. Step 5: Solve for x
    x = 302,452,951,385.34/457,871.40
  6. Step 6: Final answer
    x = 660,563.10

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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.