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Finding the Fourth Proportional to 303,151.88, 418,364.34 and 169,013

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Solution

The fourth proportional to 303,151.88, 418,364.34 and 169,013 is: 233,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,151.88 : 418,364.34 = 169,013 : x
  2. Step 2: Convert to fraction form
    303,151.88/418,364.34 = 169,013/x
  3. Step 3: Cross multiply
    303,151.88x = 418,364.34 × 169,013
  4. Step 4: Simplify right side
    303,151.88x = 70,709,012,196.42
  5. Step 5: Solve for x
    x = 70,709,012,196.42/303,151.88
  6. Step 6: Final answer
    x = 233,246.16

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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.