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Finding the Fourth Proportional to 315,028.80, 472,543.20 and 287,472.60

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Solution

The fourth proportional to 315,028.80, 472,543.20 and 287,472.60 is: 431,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,028.80 : 472,543.20 = 287,472.60 : x
  2. Step 2: Convert to fraction form
    315,028.80/472,543.20 = 287,472.60/x
  3. Step 3: Cross multiply
    315,028.80x = 472,543.20 × 287,472.60
  4. Step 4: Simplify right side
    315,028.80x = 135,843,222,316.32
  5. Step 5: Solve for x
    x = 135,843,222,316.32/315,028.80
  6. Step 6: Final answer
    x = 431,208.90

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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.