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Finding the Fourth Proportional to 288,421.70, 398,019.56 and 159,359.76

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Solution

The fourth proportional to 288,421.70, 398,019.56 and 159,359.76 is: 219,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,421.70 : 398,019.56 = 159,359.76 : x
  2. Step 2: Convert to fraction form
    288,421.70/398,019.56 = 159,359.76/x
  3. Step 3: Cross multiply
    288,421.70x = 398,019.56 × 159,359.76
  4. Step 4: Simplify right side
    288,421.70x = 63,428,300,760.11
  5. Step 5: Solve for x
    x = 63,428,300,760.11/288,421.70
  6. Step 6: Final answer
    x = 219,915.15

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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.