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Finding the Fourth Proportional to 289,017.76, 398,832.26 and 159,944.17

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Solution

The fourth proportional to 289,017.76, 398,832.26 and 159,944.17 is: 220,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,017.76 : 398,832.26 = 159,944.17 : x
  2. Step 2: Convert to fraction form
    289,017.76/398,832.26 = 159,944.17/x
  3. Step 3: Cross multiply
    289,017.76x = 398,832.26 × 159,944.17
  4. Step 4: Simplify right side
    289,017.76x = 63,790,892,484.00
  5. Step 5: Solve for x
    x = 63,790,892,484.00/289,017.76
  6. Step 6: Final answer
    x = 220,716.16

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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.