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Finding the Fourth Proportional to 409,887.20, 614,830.80 and 335,091.80

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Solution

The fourth proportional to 409,887.20, 614,830.80 and 335,091.80 is: 502,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,887.20 : 614,830.80 = 335,091.80 : x
  2. Step 2: Convert to fraction form
    409,887.20/614,830.80 = 335,091.80/x
  3. Step 3: Cross multiply
    409,887.20x = 614,830.80 × 335,091.80
  4. Step 4: Simplify right side
    409,887.20x = 206,024,759,467.44
  5. Step 5: Solve for x
    x = 206,024,759,467.44/409,887.20
  6. Step 6: Final answer
    x = 502,637.70

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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.