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Finding the Fourth Proportional to 361,257.28, 541,688.40 and 286,855.36

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Solution

The fourth proportional to 361,257.28, 541,688.40 and 286,855.36 is: 430,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,257.28 : 541,688.40 = 286,855.36 : x
  2. Step 2: Convert to fraction form
    361,257.28/541,688.40 = 286,855.36/x
  3. Step 3: Cross multiply
    361,257.28x = 541,688.40 × 286,855.36
  4. Step 4: Simplify right side
    361,257.28x = 155,386,220,989.82
  5. Step 5: Solve for x
    x = 155,386,220,989.82/361,257.28
  6. Step 6: Final answer
    x = 430,126.20

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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.