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Finding the Fourth Proportional to 312,495.24, 431,243.82 and 169,256.46

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Solution

The fourth proportional to 312,495.24, 431,243.82 and 169,256.46 is: 233,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,495.24 : 431,243.82 = 169,256.46 : x
  2. Step 2: Convert to fraction form
    312,495.24/431,243.82 = 169,256.46/x
  3. Step 3: Cross multiply
    312,495.24x = 431,243.82 × 169,256.46
  4. Step 4: Simplify right side
    312,495.24x = 72,990,802,370.08
  5. Step 5: Solve for x
    x = 72,990,802,370.08/312,495.24
  6. Step 6: Final answer
    x = 233,574.13

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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.