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Finding the Fourth Proportional to 285,282.40, 428,230.80 and 160,866.40

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Solution

The fourth proportional to 285,282.40, 428,230.80 and 160,866.40 is: 241,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,282.40 : 428,230.80 = 160,866.40 : x
  2. Step 2: Convert to fraction form
    285,282.40/428,230.80 = 160,866.40/x
  3. Step 3: Cross multiply
    285,282.40x = 428,230.80 × 160,866.40
  4. Step 4: Simplify right side
    285,282.40x = 68,887,947,165.12
  5. Step 5: Solve for x
    x = 68,887,947,165.12/285,282.40
  6. Step 6: Final answer
    x = 241,472.83

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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.