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Finding the Fourth Proportional to 310,146, 428,001.48 and 168,834

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Solution

The fourth proportional to 310,146, 428,001.48 and 168,834 is: 232,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,146 : 428,001.48 = 168,834 : x
  2. Step 2: Convert to fraction form
    310,146/428,001.48 = 168,834/x
  3. Step 3: Cross multiply
    310,146x = 428,001.48 × 168,834
  4. Step 4: Simplify right side
    310,146x = 72,261,201,874.32
  5. Step 5: Solve for x
    x = 72,261,201,874.32/310,146
  6. Step 6: Final answer
    x = 232,990.92

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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.