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Finding the Fourth Proportional to 288,424.71, 398,023.70 and 159,362.78

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Solution

The fourth proportional to 288,424.71, 398,023.70 and 159,362.78 is: 219,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,424.71 : 398,023.70 = 159,362.78 : x
  2. Step 2: Convert to fraction form
    288,424.71/398,023.70 = 159,362.78/x
  3. Step 3: Cross multiply
    288,424.71x = 398,023.70 × 159,362.78
  4. Step 4: Simplify right side
    288,424.71x = 63,430,160,550.95
  5. Step 5: Solve for x
    x = 63,430,160,550.95/288,424.71
  6. Step 6: Final answer
    x = 219,919.30

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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.