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Finding the Fourth Proportional to 319,382, 478,933.91 and 91,627.36

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Solution

The fourth proportional to 319,382, 478,933.91 and 91,627.36 is: 137,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,382 : 478,933.91 = 91,627.36 : x
  2. Step 2: Convert to fraction form
    319,382/478,933.91 = 91,627.36/x
  3. Step 3: Cross multiply
    319,382x = 478,933.91 × 91,627.36
  4. Step 4: Simplify right side
    319,382x = 43,883,449,787.78
  5. Step 5: Solve for x
    x = 43,883,449,787.78/319,382
  6. Step 6: Final answer
    x = 137,401.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.