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Finding the Fourth Proportional to 284,987.60, 427,265.40 and 144,846.80

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Solution

The fourth proportional to 284,987.60, 427,265.40 and 144,846.80 is: 217,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,987.60 : 427,265.40 = 144,846.80 : x
  2. Step 2: Convert to fraction form
    284,987.60/427,265.40 = 144,846.80/x
  3. Step 3: Cross multiply
    284,987.60x = 427,265.40 × 144,846.80
  4. Step 4: Simplify right side
    284,987.60x = 61,888,025,940.72
  5. Step 5: Solve for x
    x = 61,888,025,940.72/284,987.60
  6. Step 6: Final answer
    x = 217,160.42

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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.