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Finding the Fourth Proportional to 291,084.32, 436,644.90 and 91,412.57

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Solution

The fourth proportional to 291,084.32, 436,644.90 and 91,412.57 is: 137,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,084.32 : 436,644.90 = 91,412.57 : x
  2. Step 2: Convert to fraction form
    291,084.32/436,644.90 = 91,412.57/x
  3. Step 3: Cross multiply
    291,084.32x = 436,644.90 × 91,412.57
  4. Step 4: Simplify right side
    291,084.32x = 39,914,830,303.17
  5. Step 5: Solve for x
    x = 39,914,830,303.17/291,084.32
  6. Step 6: Final answer
    x = 137,124.63

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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.