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Finding the Fourth Proportional to 402,034.72, 603,117.60 and 135,811.12

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Solution

The fourth proportional to 402,034.72, 603,117.60 and 135,811.12 is: 203,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,034.72 : 603,117.60 = 135,811.12 : x
  2. Step 2: Convert to fraction form
    402,034.72/603,117.60 = 135,811.12/x
  3. Step 3: Cross multiply
    402,034.72x = 603,117.60 × 135,811.12
  4. Step 4: Simplify right side
    402,034.72x = 81,910,076,747.71
  5. Step 5: Solve for x
    x = 81,910,076,747.71/402,034.72
  6. Step 6: Final answer
    x = 203,738.81

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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.