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Finding the Fourth Proportional to 309,278.88, 463,130.64 and 203,778.08

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Solution

The fourth proportional to 309,278.88, 463,130.64 and 203,778.08 is: 305,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,278.88 : 463,130.64 = 203,778.08 : x
  2. Step 2: Convert to fraction form
    309,278.88/463,130.64 = 203,778.08/x
  3. Step 3: Cross multiply
    309,278.88x = 463,130.64 × 203,778.08
  4. Step 4: Simplify right side
    309,278.88x = 94,375,872,608.37
  5. Step 5: Solve for x
    x = 94,375,872,608.37/309,278.88
  6. Step 6: Final answer
    x = 305,148.13

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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.