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Finding the Fourth Proportional to 402,480.70, 603,721.05 and 181,296.70

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Solution

The fourth proportional to 402,480.70, 603,721.05 and 181,296.70 is: 271,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,480.70 : 603,721.05 = 181,296.70 : x
  2. Step 2: Convert to fraction form
    402,480.70/603,721.05 = 181,296.70/x
  3. Step 3: Cross multiply
    402,480.70x = 603,721.05 × 181,296.70
  4. Step 4: Simplify right side
    402,480.70x = 109,452,634,085.54
  5. Step 5: Solve for x
    x = 109,452,634,085.54/402,480.70
  6. Step 6: Final answer
    x = 271,945.05

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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.