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Finding the Fourth Proportional to 298,671.83, 447,937.00 and 85,433.18

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Solution

The fourth proportional to 298,671.83, 447,937.00 and 85,433.18 is: 128,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,671.83 : 447,937.00 = 85,433.18 : x
  2. Step 2: Convert to fraction form
    298,671.83/447,937.00 = 85,433.18/x
  3. Step 3: Cross multiply
    298,671.83x = 447,937.00 × 85,433.18
  4. Step 4: Simplify right side
    298,671.83x = 38,268,679,896.39
  5. Step 5: Solve for x
    x = 38,268,679,896.39/298,671.83
  6. Step 6: Final answer
    x = 128,129.53

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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.