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Finding the Fourth Proportional to 303,447, 418,756.86 and 169,311

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Solution

The fourth proportional to 303,447, 418,756.86 and 169,311 is: 233,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,447 : 418,756.86 = 169,311 : x
  2. Step 2: Convert to fraction form
    303,447/418,756.86 = 169,311/x
  3. Step 3: Cross multiply
    303,447x = 418,756.86 × 169,311
  4. Step 4: Simplify right side
    303,447x = 70,900,142,723.46
  5. Step 5: Solve for x
    x = 70,900,142,723.46/303,447
  6. Step 6: Final answer
    x = 233,649.18

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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.