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Finding the Fourth Proportional to 284,811.20, 427,216.80 and 74,470.40

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Solution

The fourth proportional to 284,811.20, 427,216.80 and 74,470.40 is: 111,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,811.20 : 427,216.80 = 74,470.40 : x
  2. Step 2: Convert to fraction form
    284,811.20/427,216.80 = 74,470.40/x
  3. Step 3: Cross multiply
    284,811.20x = 427,216.80 × 74,470.40
  4. Step 4: Simplify right side
    284,811.20x = 31,815,005,982.72
  5. Step 5: Solve for x
    x = 31,815,005,982.72/284,811.20
  6. Step 6: Final answer
    x = 111,705.60

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1.5x scale

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.