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Finding the Fourth Proportional to 288,290.48, 397,854.12 and 159,246.80

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Solution

The fourth proportional to 288,290.48, 397,854.12 and 159,246.80 is: 219,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,290.48 : 397,854.12 = 159,246.80 : x
  2. Step 2: Convert to fraction form
    288,290.48/397,854.12 = 159,246.80/x
  3. Step 3: Cross multiply
    288,290.48x = 397,854.12 × 159,246.80
  4. Step 4: Simplify right side
    288,290.48x = 63,356,995,476.82
  5. Step 5: Solve for x
    x = 63,356,995,476.82/288,290.48
  6. Step 6: Final answer
    x = 219,767.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.