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Finding the Fourth Proportional to 298,658.46, 447,979.50 and 130,178.68

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Solution

The fourth proportional to 298,658.46, 447,979.50 and 130,178.68 is: 195,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,658.46 : 447,979.50 = 130,178.68 : x
  2. Step 2: Convert to fraction form
    298,658.46/447,979.50 = 130,178.68/x
  3. Step 3: Cross multiply
    298,658.46x = 447,979.50 × 130,178.68
  4. Step 4: Simplify right side
    298,658.46x = 58,317,379,977.06
  5. Step 5: Solve for x
    x = 58,317,379,977.06/298,658.46
  6. Step 6: Final answer
    x = 195,264.45

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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.