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Finding the Fourth Proportional to 409,788, 614,959.56 and 143,550.72

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Solution

The fourth proportional to 409,788, 614,959.56 and 143,550.72 is: 215,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,788 : 614,959.56 = 143,550.72 : x
  2. Step 2: Convert to fraction form
    409,788/614,959.56 = 143,550.72/x
  3. Step 3: Cross multiply
    409,788x = 614,959.56 × 143,550.72
  4. Step 4: Simplify right side
    409,788x = 88,277,887,608.88
  5. Step 5: Solve for x
    x = 88,277,887,608.88/409,788
  6. Step 6: Final answer
    x = 215,423.31

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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.