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Finding the Fourth Proportional to 315,334.80, 472,856.40 and 137,750.40

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Solution

The fourth proportional to 315,334.80, 472,856.40 and 137,750.40 is: 206,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,334.80 : 472,856.40 = 137,750.40 : x
  2. Step 2: Convert to fraction form
    315,334.80/472,856.40 = 137,750.40/x
  3. Step 3: Cross multiply
    315,334.80x = 472,856.40 × 137,750.40
  4. Step 4: Simplify right side
    315,334.80x = 65,136,158,242.56
  5. Step 5: Solve for x
    x = 65,136,158,242.56/315,334.80
  6. Step 6: Final answer
    x = 206,561.91

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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.