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Finding the Fourth Proportional to 315,628.40, 472,276.20 and 287,634.80

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Solution

The fourth proportional to 315,628.40, 472,276.20 and 287,634.80 is: 430,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,628.40 : 472,276.20 = 287,634.80 : x
  2. Step 2: Convert to fraction form
    315,628.40/472,276.20 = 287,634.80/x
  3. Step 3: Cross multiply
    315,628.40x = 472,276.20 × 287,634.80
  4. Step 4: Simplify right side
    315,628.40x = 135,843,070,331.76
  5. Step 5: Solve for x
    x = 135,843,070,331.76/315,628.40
  6. Step 6: Final answer
    x = 430,389.25

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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.