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Finding the Fourth Proportional to 289,074.89, 398,913.33 and 160,018.98

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Solution

The fourth proportional to 289,074.89, 398,913.33 and 160,018.98 is: 220,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,074.89 : 398,913.33 = 160,018.98 : x
  2. Step 2: Convert to fraction form
    289,074.89/398,913.33 = 160,018.98/x
  3. Step 3: Cross multiply
    289,074.89x = 398,913.33 × 160,018.98
  4. Step 4: Simplify right side
    289,074.89x = 63,833,704,175.00
  5. Step 5: Solve for x
    x = 63,833,704,175.00/289,074.89
  6. Step 6: Final answer
    x = 220,820.65

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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.