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Finding the Fourth Proportional to 289,110.01, 398,965.60 and 160,041.02

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Solution

The fourth proportional to 289,110.01, 398,965.60 and 160,041.02 is: 220,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,110.01 : 398,965.60 = 160,041.02 : x
  2. Step 2: Convert to fraction form
    289,110.01/398,965.60 = 160,041.02/x
  3. Step 3: Cross multiply
    289,110.01x = 398,965.60 × 160,041.02
  4. Step 4: Simplify right side
    289,110.01x = 63,850,859,774.14
  5. Step 5: Solve for x
    x = 63,850,859,774.14/289,110.01
  6. Step 6: Final answer
    x = 220,853.16

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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.