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Finding the Fourth Proportional to 312,580.10, 431,360.49 and 169,340.10

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Solution

The fourth proportional to 312,580.10, 431,360.49 and 169,340.10 is: 233,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,580.10 : 431,360.49 = 169,340.10 : x
  2. Step 2: Convert to fraction form
    312,580.10/431,360.49 = 169,340.10/x
  3. Step 3: Cross multiply
    312,580.10x = 431,360.49 × 169,340.10
  4. Step 4: Simplify right side
    312,580.10x = 73,046,628,512.65
  5. Step 5: Solve for x
    x = 73,046,628,512.65/312,580.10
  6. Step 6: Final answer
    x = 233,689.31

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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.