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Finding the Fourth Proportional to 438,110.20, 657,165.30 and 171,879.40

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Solution

The fourth proportional to 438,110.20, 657,165.30 and 171,879.40 is: 257,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,110.20 : 657,165.30 = 171,879.40 : x
  2. Step 2: Convert to fraction form
    438,110.20/657,165.30 = 171,879.40/x
  3. Step 3: Cross multiply
    438,110.20x = 657,165.30 × 171,879.40
  4. Step 4: Simplify right side
    438,110.20x = 112,953,177,464.82
  5. Step 5: Solve for x
    x = 112,953,177,464.82/438,110.20
  6. Step 6: Final answer
    x = 257,819.10

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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.