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Finding the Fourth Proportional to 284,815.60, 427,223.40 and 137,359.60

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Solution

The fourth proportional to 284,815.60, 427,223.40 and 137,359.60 is: 206,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,815.60 : 427,223.40 = 137,359.60 : x
  2. Step 2: Convert to fraction form
    284,815.60/427,223.40 = 137,359.60/x
  3. Step 3: Cross multiply
    284,815.60x = 427,223.40 × 137,359.60
  4. Step 4: Simplify right side
    284,815.60x = 58,683,235,334.64
  5. Step 5: Solve for x
    x = 58,683,235,334.64/284,815.60
  6. Step 6: Final answer
    x = 206,039.40

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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.