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Finding the Fourth Proportional to 288,498.29, 398,106.81 and 159,435.23

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Solution

The fourth proportional to 288,498.29, 398,106.81 and 159,435.23 is: 220,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,498.29 : 398,106.81 = 159,435.23 : x
  2. Step 2: Convert to fraction form
    288,498.29/398,106.81 = 159,435.23/x
  3. Step 3: Cross multiply
    288,498.29x = 398,106.81 × 159,435.23
  4. Step 4: Simplify right side
    288,498.29x = 63,472,248,826.38
  5. Step 5: Solve for x
    x = 63,472,248,826.38/288,498.29
  6. Step 6: Final answer
    x = 220,009.10

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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.