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Finding the Fourth Proportional to 289,098.98, 398,937.31 and 160,028.72

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Solution

The fourth proportional to 289,098.98, 398,937.31 and 160,028.72 is: 220,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,098.98 : 398,937.31 = 160,028.72 : x
  2. Step 2: Convert to fraction form
    289,098.98/398,937.31 = 160,028.72/x
  3. Step 3: Cross multiply
    289,098.98x = 398,937.31 × 160,028.72
  4. Step 4: Simplify right side
    289,098.98x = 63,841,427,079.54
  5. Step 5: Solve for x
    x = 63,841,427,079.54/289,098.98
  6. Step 6: Final answer
    x = 220,828.96

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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.