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Finding the Fourth Proportional to 280,377.69, 420,525.02 and 90,854.61

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Solution

The fourth proportional to 280,377.69, 420,525.02 and 90,854.61 is: 136,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,377.69 : 420,525.02 = 90,854.61 : x
  2. Step 2: Convert to fraction form
    280,377.69/420,525.02 = 90,854.61/x
  3. Step 3: Cross multiply
    280,377.69x = 420,525.02 × 90,854.61
  4. Step 4: Simplify right side
    280,377.69x = 38,206,636,233.07
  5. Step 5: Solve for x
    x = 38,206,636,233.07/280,377.69
  6. Step 6: Final answer
    x = 136,268.46

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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.