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Finding the Fourth Proportional to 312,808.20, 431,677.53 and 169,570.50

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Solution

The fourth proportional to 312,808.20, 431,677.53 and 169,570.50 is: 234,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,808.20 : 431,677.53 = 169,570.50 : x
  2. Step 2: Convert to fraction form
    312,808.20/431,677.53 = 169,570.50/x
  3. Step 3: Cross multiply
    312,808.20x = 431,677.53 × 169,570.50
  4. Step 4: Simplify right side
    312,808.20x = 73,199,774,600.87
  5. Step 5: Solve for x
    x = 73,199,774,600.87/312,808.20
  6. Step 6: Final answer
    x = 234,008.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.