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Finding the Fourth Proportional to 457,424.80, 686,137.20 and 308,125.60

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Solution

The fourth proportional to 457,424.80, 686,137.20 and 308,125.60 is: 462,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,424.80 : 686,137.20 = 308,125.60 : x
  2. Step 2: Convert to fraction form
    457,424.80/686,137.20 = 308,125.60/x
  3. Step 3: Cross multiply
    457,424.80x = 686,137.20 × 308,125.60
  4. Step 4: Simplify right side
    457,424.80x = 211,416,436,432.32
  5. Step 5: Solve for x
    x = 211,416,436,432.32/457,424.80
  6. Step 6: Final answer
    x = 462,188.40

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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.