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Finding the Fourth Proportional to 294,924.80, 442,300.80 and 137,115.20

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Solution

The fourth proportional to 294,924.80, 442,300.80 and 137,115.20 is: 205,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,924.80 : 442,300.80 = 137,115.20 : x
  2. Step 2: Convert to fraction form
    294,924.80/442,300.80 = 137,115.20/x
  3. Step 3: Cross multiply
    294,924.80x = 442,300.80 × 137,115.20
  4. Step 4: Simplify right side
    294,924.80x = 60,646,162,652.16
  5. Step 5: Solve for x
    x = 60,646,162,652.16/294,924.80
  6. Step 6: Final answer
    x = 205,632.63

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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.