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Finding the Fourth Proportional to 288,419.69, 398,016.82 and 159,357.75

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Solution

The fourth proportional to 288,419.69, 398,016.82 and 159,357.75 is: 219,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,419.69 : 398,016.82 = 159,357.75 : x
  2. Step 2: Convert to fraction form
    288,419.69/398,016.82 = 159,357.75/x
  3. Step 3: Cross multiply
    288,419.69x = 398,016.82 × 159,357.75
  4. Step 4: Simplify right side
    288,419.69x = 63,427,064,897.36
  5. Step 5: Solve for x
    x = 63,427,064,897.36/288,419.69
  6. Step 6: Final answer
    x = 219,912.40

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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.