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Finding the Fourth Proportional to 315,021.80, 472,532.70 and 287,465.60

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Solution

The fourth proportional to 315,021.80, 472,532.70 and 287,465.60 is: 431,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,021.80 : 472,532.70 = 287,465.60 : x
  2. Step 2: Convert to fraction form
    315,021.80/472,532.70 = 287,465.60/x
  3. Step 3: Cross multiply
    315,021.80x = 472,532.70 × 287,465.60
  4. Step 4: Simplify right side
    315,021.80x = 135,836,896,125.12
  5. Step 5: Solve for x
    x = 135,836,896,125.12/315,021.80
  6. Step 6: Final answer
    x = 431,198.40

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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.