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Finding the Fourth Proportional to 298,017.12, 447,463.12 and 186,173.92

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Solution

The fourth proportional to 298,017.12, 447,463.12 and 186,173.92 is: 279,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,017.12 : 447,463.12 = 186,173.92 : x
  2. Step 2: Convert to fraction form
    298,017.12/447,463.12 = 186,173.92/x
  3. Step 3: Cross multiply
    298,017.12x = 447,463.12 × 186,173.92
  4. Step 4: Simplify right side
    298,017.12x = 83,305,963,105.83
  5. Step 5: Solve for x
    x = 83,305,963,105.83/298,017.12
  6. Step 6: Final answer
    x = 279,534.15

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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.