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Finding the Fourth Proportional to 284,862.88, 427,261.68 and 74,521.12

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Solution

The fourth proportional to 284,862.88, 427,261.68 and 74,521.12 is: 111,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,862.88 : 427,261.68 = 74,521.12 : x
  2. Step 2: Convert to fraction form
    284,862.88/427,261.68 = 74,521.12/x
  3. Step 3: Cross multiply
    284,862.88x = 427,261.68 × 74,521.12
  4. Step 4: Simplify right side
    284,862.88x = 31,840,018,926.68
  5. Step 5: Solve for x
    x = 31,840,018,926.68/284,862.88
  6. Step 6: Final answer
    x = 111,773.14

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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.