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Finding the Fourth Proportional to 289,132.78, 398,994.66 and 160,077

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Solution

The fourth proportional to 289,132.78, 398,994.66 and 160,077 is: 220,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,132.78 : 398,994.66 = 160,077 : x
  2. Step 2: Convert to fraction form
    289,132.78/398,994.66 = 160,077/x
  3. Step 3: Cross multiply
    289,132.78x = 398,994.66 × 160,077
  4. Step 4: Simplify right side
    289,132.78x = 63,869,868,188.82
  5. Step 5: Solve for x
    x = 63,869,868,188.82/289,132.78
  6. Step 6: Final answer
    x = 220,901.52

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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.