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Finding the Fourth Proportional to 298,336.59, 447,701.76 and 140,610.15

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Solution

The fourth proportional to 298,336.59, 447,701.76 and 140,610.15 is: 211,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,336.59 : 447,701.76 = 140,610.15 : x
  2. Step 2: Convert to fraction form
    298,336.59/447,701.76 = 140,610.15/x
  3. Step 3: Cross multiply
    298,336.59x = 447,701.76 × 140,610.15
  4. Step 4: Simplify right side
    298,336.59x = 62,951,411,628.86
  5. Step 5: Solve for x
    x = 62,951,411,628.86/298,336.59
  6. Step 6: Final answer
    x = 211,008.01

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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.