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Finding the Fourth Proportional to 299,318.60, 448,977.90 and 141,854.60

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Solution

The fourth proportional to 299,318.60, 448,977.90 and 141,854.60 is: 212,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,318.60 : 448,977.90 = 141,854.60 : x
  2. Step 2: Convert to fraction form
    299,318.60/448,977.90 = 141,854.60/x
  3. Step 3: Cross multiply
    299,318.60x = 448,977.90 × 141,854.60
  4. Step 4: Simplify right side
    299,318.60x = 63,689,580,413.34
  5. Step 5: Solve for x
    x = 63,689,580,413.34/299,318.60
  6. Step 6: Final answer
    x = 212,781.90

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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.