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Finding the Fourth Proportional to 298,502.80, 447,365.40 and 120,864.40

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Solution

The fourth proportional to 298,502.80, 447,365.40 and 120,864.40 is: 181,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,502.80 : 447,365.40 = 120,864.40 : x
  2. Step 2: Convert to fraction form
    298,502.80/447,365.40 = 120,864.40/x
  3. Step 3: Cross multiply
    298,502.80x = 447,365.40 × 120,864.40
  4. Step 4: Simplify right side
    298,502.80x = 54,070,550,651.76
  5. Step 5: Solve for x
    x = 54,070,550,651.76/298,502.80
  6. Step 6: Final answer
    x = 181,139.17

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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.