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Finding the Fourth Proportional to 386,830.80, 580,246.20 and 268,732.80

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Solution

The fourth proportional to 386,830.80, 580,246.20 and 268,732.80 is: 403,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,830.80 : 580,246.20 = 268,732.80 : x
  2. Step 2: Convert to fraction form
    386,830.80/580,246.20 = 268,732.80/x
  3. Step 3: Cross multiply
    386,830.80x = 580,246.20 × 268,732.80
  4. Step 4: Simplify right side
    386,830.80x = 155,931,186,015.36
  5. Step 5: Solve for x
    x = 155,931,186,015.36/386,830.80
  6. Step 6: Final answer
    x = 403,099.20

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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.