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Finding the Fourth Proportional to 312,535.49, 431,301.05 and 169,295.53

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Solution

The fourth proportional to 312,535.49, 431,301.05 and 169,295.53 is: 233,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,535.49 : 431,301.05 = 169,295.53 : x
  2. Step 2: Convert to fraction form
    312,535.49/431,301.05 = 169,295.53/x
  3. Step 3: Cross multiply
    312,535.49x = 431,301.05 × 169,295.53
  4. Step 4: Simplify right side
    312,535.49x = 73,017,340,504.32
  5. Step 5: Solve for x
    x = 73,017,340,504.32/312,535.49
  6. Step 6: Final answer
    x = 233,628.96

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1.5x scale

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.