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Finding the Fourth Proportional to 312,578.16, 431,357.34 and 169,341.84

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Solution

The fourth proportional to 312,578.16, 431,357.34 and 169,341.84 is: 233,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,578.16 : 431,357.34 = 169,341.84 : x
  2. Step 2: Convert to fraction form
    312,578.16/431,357.34 = 169,341.84/x
  3. Step 3: Cross multiply
    312,578.16x = 431,357.34 × 169,341.84
  4. Step 4: Simplify right side
    312,578.16x = 73,046,845,653.11
  5. Step 5: Solve for x
    x = 73,046,845,653.11/312,578.16
  6. Step 6: Final answer
    x = 233,691.46

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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.