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Finding the Fourth Proportional to 288,937.83, 398,712.51 and 161,588.82

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Solution

The fourth proportional to 288,937.83, 398,712.51 and 161,588.82 is: 222,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,937.83 : 398,712.51 = 161,588.82 : x
  2. Step 2: Convert to fraction form
    288,937.83/398,712.51 = 161,588.82/x
  3. Step 3: Cross multiply
    288,937.83x = 398,712.51 × 161,588.82
  4. Step 4: Simplify right side
    288,937.83x = 64,427,482,016.58
  5. Step 5: Solve for x
    x = 64,427,482,016.58/288,937.83
  6. Step 6: Final answer
    x = 222,980.44

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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.