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Finding the Fourth Proportional to 310,144, 427,998.72 and 168,832

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Solution

The fourth proportional to 310,144, 427,998.72 and 168,832 is: 232,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,144 : 427,998.72 = 168,832 : x
  2. Step 2: Convert to fraction form
    310,144/427,998.72 = 168,832/x
  3. Step 3: Cross multiply
    310,144x = 427,998.72 × 168,832
  4. Step 4: Simplify right side
    310,144x = 72,259,879,895.04
  5. Step 5: Solve for x
    x = 72,259,879,895.04/310,144
  6. Step 6: Final answer
    x = 232,988.16

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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.