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Finding the Fourth Proportional to 315,629.40, 472,277.70 and 287,635.80

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Solution

The fourth proportional to 315,629.40, 472,277.70 and 287,635.80 is: 430,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,629.40 : 472,277.70 = 287,635.80 : x
  2. Step 2: Convert to fraction form
    315,629.40/472,277.70 = 287,635.80/x
  3. Step 3: Cross multiply
    315,629.40x = 472,277.70 × 287,635.80
  4. Step 4: Simplify right side
    315,629.40x = 135,843,974,061.66
  5. Step 5: Solve for x
    x = 135,843,974,061.66/315,629.40
  6. Step 6: Final answer
    x = 430,390.75

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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.