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Finding the Fourth Proportional to 291,144.16, 436,805.37 and 149,090.01

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Solution

The fourth proportional to 291,144.16, 436,805.37 and 149,090.01 is: 223,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,144.16 : 436,805.37 = 149,090.01 : x
  2. Step 2: Convert to fraction form
    291,144.16/436,805.37 = 149,090.01/x
  3. Step 3: Cross multiply
    291,144.16x = 436,805.37 × 149,090.01
  4. Step 4: Simplify right side
    291,144.16x = 65,123,316,981.35
  5. Step 5: Solve for x
    x = 65,123,316,981.35/291,144.16
  6. Step 6: Final answer
    x = 223,680.66

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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.