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Finding the Fourth Proportional to 284,514.64, 426,772.28 and 74,152.40

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Solution

The fourth proportional to 284,514.64, 426,772.28 and 74,152.40 is: 111,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,514.64 : 426,772.28 = 74,152.40 : x
  2. Step 2: Convert to fraction form
    284,514.64/426,772.28 = 74,152.40/x
  3. Step 3: Cross multiply
    284,514.64x = 426,772.28 × 74,152.40
  4. Step 4: Simplify right side
    284,514.64x = 31,646,188,815.47
  5. Step 5: Solve for x
    x = 31,646,188,815.47/284,514.64
  6. Step 6: Final answer
    x = 111,228.68

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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.