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Finding the Fourth Proportional to 431,859.12, 647,663.40 and 165,600.24

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Solution

The fourth proportional to 431,859.12, 647,663.40 and 165,600.24 is: 248,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,859.12 : 647,663.40 = 165,600.24 : x
  2. Step 2: Convert to fraction form
    431,859.12/647,663.40 = 165,600.24/x
  3. Step 3: Cross multiply
    431,859.12x = 647,663.40 × 165,600.24
  4. Step 4: Simplify right side
    431,859.12x = 107,253,214,479.22
  5. Step 5: Solve for x
    x = 107,253,214,479.22/431,859.12
  6. Step 6: Final answer
    x = 248,352.32

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1.5x scale

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.