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Finding the Fourth Proportional to 457,871.60, 687,012.20 and 208,425.20

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Solution

The fourth proportional to 457,871.60, 687,012.20 and 208,425.20 is: 312,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,871.60 : 687,012.20 = 208,425.20 : x
  2. Step 2: Convert to fraction form
    457,871.60/687,012.20 = 208,425.20/x
  3. Step 3: Cross multiply
    457,871.60x = 687,012.20 × 208,425.20
  4. Step 4: Simplify right side
    457,871.60x = 143,190,655,187.44
  5. Step 5: Solve for x
    x = 143,190,655,187.44/457,871.60
  6. Step 6: Final answer
    x = 312,731.03

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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.