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Finding the Fourth Proportional to 284,729.60, 426,316.80 and 205,414.40

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Solution

The fourth proportional to 284,729.60, 426,316.80 and 205,414.40 is: 307,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,729.60 : 426,316.80 = 205,414.40 : x
  2. Step 2: Convert to fraction form
    284,729.60/426,316.80 = 205,414.40/x
  3. Step 3: Cross multiply
    284,729.60x = 426,316.80 × 205,414.40
  4. Step 4: Simplify right side
    284,729.60x = 87,571,609,681.92
  5. Step 5: Solve for x
    x = 87,571,609,681.92/284,729.60
  6. Step 6: Final answer
    x = 307,560.61

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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.