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Finding the Fourth Proportional to 312,982.72, 469,508.60 and 99,701.02

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Solution

The fourth proportional to 312,982.72, 469,508.60 and 99,701.02 is: 149,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,982.72 : 469,508.60 = 99,701.02 : x
  2. Step 2: Convert to fraction form
    312,982.72/469,508.60 = 99,701.02/x
  3. Step 3: Cross multiply
    312,982.72x = 469,508.60 × 99,701.02
  4. Step 4: Simplify right side
    312,982.72x = 46,810,486,318.77
  5. Step 5: Solve for x
    x = 46,810,486,318.77/312,982.72
  6. Step 6: Final answer
    x = 149,562.53

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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.