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Finding the Fourth Proportional to 298,655.49, 447,827.72 and 140,841.57

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Solution

The fourth proportional to 298,655.49, 447,827.72 and 140,841.57 is: 211,189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,655.49 : 447,827.72 = 140,841.57 : x
  2. Step 2: Convert to fraction form
    298,655.49/447,827.72 = 140,841.57/x
  3. Step 3: Cross multiply
    298,655.49x = 447,827.72 × 140,841.57
  4. Step 4: Simplify right side
    298,655.49x = 63,072,758,470.11
  5. Step 5: Solve for x
    x = 63,072,758,470.11/298,655.49
  6. Step 6: Final answer
    x = 211,189.01

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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.