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Finding the Fourth Proportional to 312,716.77, 431,549.16 and 169,476.77

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Solution

The fourth proportional to 312,716.77, 431,549.16 and 169,476.77 is: 233,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,716.77 : 431,549.16 = 169,476.77 : x
  2. Step 2: Convert to fraction form
    312,716.77/431,549.16 = 169,476.77/x
  3. Step 3: Cross multiply
    312,716.77x = 431,549.16 × 169,476.77
  4. Step 4: Simplify right side
    312,716.77x = 73,137,557,733.01
  5. Step 5: Solve for x
    x = 73,137,557,733.01/312,716.77
  6. Step 6: Final answer
    x = 233,877.96

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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.