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Finding the Fourth Proportional to 312,329.86, 431,016.19 and 169,090.47

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Solution

The fourth proportional to 312,329.86, 431,016.19 and 169,090.47 is: 233,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,329.86 : 431,016.19 = 169,090.47 : x
  2. Step 2: Convert to fraction form
    312,329.86/431,016.19 = 169,090.47/x
  3. Step 3: Cross multiply
    312,329.86x = 431,016.19 × 169,090.47
  4. Step 4: Simplify right side
    312,329.86x = 72,880,729,721.98
  5. Step 5: Solve for x
    x = 72,880,729,721.98/312,329.86
  6. Step 6: Final answer
    x = 233,345.38

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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.