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Finding the Fourth Proportional to 289,043.30, 398,826.18 and 168,140.48

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Solution

The fourth proportional to 289,043.30, 398,826.18 and 168,140.48 is: 232,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,043.30 : 398,826.18 = 168,140.48 : x
  2. Step 2: Convert to fraction form
    289,043.30/398,826.18 = 168,140.48/x
  3. Step 3: Cross multiply
    289,043.30x = 398,826.18 × 168,140.48
  4. Step 4: Simplify right side
    289,043.30x = 67,058,825,341.77
  5. Step 5: Solve for x
    x = 67,058,825,341.77/289,043.30
  6. Step 6: Final answer
    x = 232,002.70

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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.