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Finding the Fourth Proportional to 285,722.80, 428,584.20 and 239,412.40

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Solution

The fourth proportional to 285,722.80, 428,584.20 and 239,412.40 is: 359,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,722.80 : 428,584.20 = 239,412.40 : x
  2. Step 2: Convert to fraction form
    285,722.80/428,584.20 = 239,412.40/x
  3. Step 3: Cross multiply
    285,722.80x = 428,584.20 × 239,412.40
  4. Step 4: Simplify right side
    285,722.80x = 102,608,371,924.08
  5. Step 5: Solve for x
    x = 102,608,371,924.08/285,722.80
  6. Step 6: Final answer
    x = 359,118.60

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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.