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Finding the Fourth Proportional to 258,019.30, 386,826.15 and 163,049.74

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Solution

The fourth proportional to 258,019.30, 386,826.15 and 163,049.74 is: 244,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,019.30 : 386,826.15 = 163,049.74 : x
  2. Step 2: Convert to fraction form
    258,019.30/386,826.15 = 163,049.74/x
  3. Step 3: Cross multiply
    258,019.30x = 386,826.15 × 163,049.74
  4. Step 4: Simplify right side
    258,019.30x = 63,071,901,909.92
  5. Step 5: Solve for x
    x = 63,071,901,909.92/258,019.30
  6. Step 6: Final answer
    x = 244,446.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.