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Finding the Fourth Proportional to 285,512.30, 428,268.45 and 152,801.90

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Solution

The fourth proportional to 285,512.30, 428,268.45 and 152,801.90 is: 229,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,512.30 : 428,268.45 = 152,801.90 : x
  2. Step 2: Convert to fraction form
    285,512.30/428,268.45 = 152,801.90/x
  3. Step 3: Cross multiply
    285,512.30x = 428,268.45 × 152,801.90
  4. Step 4: Simplify right side
    285,512.30x = 65,440,232,870.06
  5. Step 5: Solve for x
    x = 65,440,232,870.06/285,512.30
  6. Step 6: Final answer
    x = 229,202.85

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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.