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Finding the Fourth Proportional to 312,943.74, 431,862.59 and 169,703.74

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Solution

The fourth proportional to 312,943.74, 431,862.59 and 169,703.74 is: 234,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,943.74 : 431,862.59 = 169,703.74 : x
  2. Step 2: Convert to fraction form
    312,943.74/431,862.59 = 169,703.74/x
  3. Step 3: Cross multiply
    312,943.74x = 431,862.59 × 169,703.74
  4. Step 4: Simplify right side
    312,943.74x = 73,288,697,653.17
  5. Step 5: Solve for x
    x = 73,288,697,653.17/312,943.74
  6. Step 6: Final answer
    x = 234,191.29

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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.