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Finding the Fourth Proportional to 305,843.28, 459,045.12 and 163,848.87

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Solution

The fourth proportional to 305,843.28, 459,045.12 and 163,848.87 is: 245,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,843.28 : 459,045.12 = 163,848.87 : x
  2. Step 2: Convert to fraction form
    305,843.28/459,045.12 = 163,848.87/x
  3. Step 3: Cross multiply
    305,843.28x = 459,045.12 × 163,848.87
  4. Step 4: Simplify right side
    305,843.28x = 75,214,024,191.01
  5. Step 5: Solve for x
    x = 75,214,024,191.01/305,843.28
  6. Step 6: Final answer
    x = 245,923.42

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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.