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Finding the Fourth Proportional to 284,867.88, 427,269.18 and 74,526.12

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Solution

The fourth proportional to 284,867.88, 427,269.18 and 74,526.12 is: 111,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,867.88 : 427,269.18 = 74,526.12 : x
  2. Step 2: Convert to fraction form
    284,867.88/427,269.18 = 74,526.12/x
  3. Step 3: Cross multiply
    284,867.88x = 427,269.18 × 74,526.12
  4. Step 4: Simplify right side
    284,867.88x = 31,842,714,180.98
  5. Step 5: Solve for x
    x = 31,842,714,180.98/284,867.88
  6. Step 6: Final answer
    x = 111,780.64

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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.