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Finding the Fourth Proportional to 312,356.98, 431,052.06 and 169,117

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Solution

The fourth proportional to 312,356.98, 431,052.06 and 169,117 is: 233,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,356.98 : 431,052.06 = 169,117 : x
  2. Step 2: Convert to fraction form
    312,356.98/431,052.06 = 169,117/x
  3. Step 3: Cross multiply
    312,356.98x = 431,052.06 × 169,117
  4. Step 4: Simplify right side
    312,356.98x = 72,898,231,231.02
  5. Step 5: Solve for x
    x = 72,898,231,231.02/312,356.98
  6. Step 6: Final answer
    x = 233,381.15

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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.