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Finding the Fourth Proportional to 288,284.16, 397,726.72 and 167,382.40

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Solution

The fourth proportional to 288,284.16, 397,726.72 and 167,382.40 is: 230,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,284.16 : 397,726.72 = 167,382.40 : x
  2. Step 2: Convert to fraction form
    288,284.16/397,726.72 = 167,382.40/x
  3. Step 3: Cross multiply
    288,284.16x = 397,726.72 × 167,382.40
  4. Step 4: Simplify right side
    288,284.16x = 66,572,452,937.73
  5. Step 5: Solve for x
    x = 66,572,452,937.73/288,284.16
  6. Step 6: Final answer
    x = 230,926.50

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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.