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Finding the Fourth Proportional to 291,048, 436,572.10 and 130,936.90

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Solution

The fourth proportional to 291,048, 436,572.10 and 130,936.90 is: 196,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,048 : 436,572.10 = 130,936.90 : x
  2. Step 2: Convert to fraction form
    291,048/436,572.10 = 130,936.90/x
  3. Step 3: Cross multiply
    291,048x = 436,572.10 × 130,936.90
  4. Step 4: Simplify right side
    291,048x = 57,163,397,400.49
  5. Step 5: Solve for x
    x = 57,163,397,400.49/291,048
  6. Step 6: Final answer
    x = 196,405.39

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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.