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Finding the Fourth Proportional to 289,073.01, 398,910.74 and 160,017.11

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Solution

The fourth proportional to 289,073.01, 398,910.74 and 160,017.11 is: 220,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,073.01 : 398,910.74 = 160,017.11 : x
  2. Step 2: Convert to fraction form
    289,073.01/398,910.74 = 160,017.11/x
  3. Step 3: Cross multiply
    289,073.01x = 398,910.74 × 160,017.11
  4. Step 4: Simplify right side
    289,073.01x = 63,832,543,364.13
  5. Step 5: Solve for x
    x = 63,832,543,364.13/289,073.01
  6. Step 6: Final answer
    x = 220,818.07

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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.