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Finding the Fourth Proportional to 288,891.23, 398,681.65 and 159,827.48

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Solution

The fourth proportional to 288,891.23, 398,681.65 and 159,827.48 is: 220,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,891.23 : 398,681.65 = 159,827.48 : x
  2. Step 2: Convert to fraction form
    288,891.23/398,681.65 = 159,827.48/x
  3. Step 3: Cross multiply
    288,891.23x = 398,681.65 × 159,827.48
  4. Step 4: Simplify right side
    288,891.23x = 63,720,282,244.14
  5. Step 5: Solve for x
    x = 63,720,282,244.14/288,891.23
  6. Step 6: Final answer
    x = 220,568.42

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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.