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Finding the Fourth Proportional to 295,000.80, 442,498.32 and 84,639.84

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Solution

The fourth proportional to 295,000.80, 442,498.32 and 84,639.84 is: 126,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,000.80 : 442,498.32 = 84,639.84 : x
  2. Step 2: Convert to fraction form
    295,000.80/442,498.32 = 84,639.84/x
  3. Step 3: Cross multiply
    295,000.80x = 442,498.32 × 84,639.84
  4. Step 4: Simplify right side
    295,000.80x = 37,452,987,005.07
  5. Step 5: Solve for x
    x = 37,452,987,005.07/295,000.80
  6. Step 6: Final answer
    x = 126,958.93

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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.