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Finding the Fourth Proportional to 289,096.98, 398,934.56 and 160,026.72

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Solution

The fourth proportional to 289,096.98, 398,934.56 and 160,026.72 is: 220,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,096.98 : 398,934.56 = 160,026.72 : x
  2. Step 2: Convert to fraction form
    289,096.98/398,934.56 = 160,026.72/x
  3. Step 3: Cross multiply
    289,096.98x = 398,934.56 × 160,026.72
  4. Step 4: Simplify right side
    289,096.98x = 63,840,188,331.31
  5. Step 5: Solve for x
    x = 63,840,188,331.31/289,096.98
  6. Step 6: Final answer
    x = 220,826.20

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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.