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Finding the Fourth Proportional to 285,690, 428,554.80 and 119,478

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Solution

The fourth proportional to 285,690, 428,554.80 and 119,478 is: 179,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,690 : 428,554.80 = 119,478 : x
  2. Step 2: Convert to fraction form
    285,690/428,554.80 = 119,478/x
  3. Step 3: Cross multiply
    285,690x = 428,554.80 × 119,478
  4. Step 4: Simplify right side
    285,690x = 51,202,870,394.40
  5. Step 5: Solve for x
    x = 51,202,870,394.40/285,690
  6. Step 6: Final answer
    x = 179,225.28

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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.