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Finding the Fourth Proportional to 310,329.76, 428,255.46 and 176,193.76

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Solution

The fourth proportional to 310,329.76, 428,255.46 and 176,193.76 is: 243,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,329.76 : 428,255.46 = 176,193.76 : x
  2. Step 2: Convert to fraction form
    310,329.76/428,255.46 = 176,193.76/x
  3. Step 3: Cross multiply
    310,329.76x = 428,255.46 × 176,193.76
  4. Step 4: Simplify right side
    310,329.76x = 75,455,939,737.93
  5. Step 5: Solve for x
    x = 75,455,939,737.93/310,329.76
  6. Step 6: Final answer
    x = 243,147.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.