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Finding the Fourth Proportional to 421,486.60, 631,922.70 and 172,040.20

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Solution

The fourth proportional to 421,486.60, 631,922.70 and 172,040.20 is: 257,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,486.60 : 631,922.70 = 172,040.20 : x
  2. Step 2: Convert to fraction form
    421,486.60/631,922.70 = 172,040.20/x
  3. Step 3: Cross multiply
    421,486.60x = 631,922.70 × 172,040.20
  4. Step 4: Simplify right side
    421,486.60x = 108,716,107,692.54
  5. Step 5: Solve for x
    x = 108,716,107,692.54/421,486.60
  6. Step 6: Final answer
    x = 257,934.91

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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.