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Finding the Fourth Proportional to 378,488.16, 567,720 and 153,782.24

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Solution

The fourth proportional to 378,488.16, 567,720 and 153,782.24 is: 230,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,488.16 : 567,720 = 153,782.24 : x
  2. Step 2: Convert to fraction form
    378,488.16/567,720 = 153,782.24/x
  3. Step 3: Cross multiply
    378,488.16x = 567,720 × 153,782.24
  4. Step 4: Simplify right side
    378,488.16x = 87,305,253,292.80
  5. Step 5: Solve for x
    x = 87,305,253,292.80/378,488.16
  6. Step 6: Final answer
    x = 230,668.39

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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.