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Finding the Fourth Proportional to 298,830.80, 447,641.40 and 186,165.20

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Solution

The fourth proportional to 298,830.80, 447,641.40 and 186,165.20 is: 278,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,830.80 : 447,641.40 = 186,165.20 : x
  2. Step 2: Convert to fraction form
    298,830.80/447,641.40 = 186,165.20/x
  3. Step 3: Cross multiply
    298,830.80x = 447,641.40 × 186,165.20
  4. Step 4: Simplify right side
    298,830.80x = 83,335,250,759.28
  5. Step 5: Solve for x
    x = 83,335,250,759.28/298,830.80
  6. Step 6: Final answer
    x = 278,871.02

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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.