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Finding the Fourth Proportional to 285,999.40, 428,999.10 and 72,766.90

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Solution

The fourth proportional to 285,999.40, 428,999.10 and 72,766.90 is: 109,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,999.40 : 428,999.10 = 72,766.90 : x
  2. Step 2: Convert to fraction form
    285,999.40/428,999.10 = 72,766.90/x
  3. Step 3: Cross multiply
    285,999.40x = 428,999.10 × 72,766.90
  4. Step 4: Simplify right side
    285,999.40x = 31,216,934,609.79
  5. Step 5: Solve for x
    x = 31,216,934,609.79/285,999.40
  6. Step 6: Final answer
    x = 109,150.35

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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.