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Finding the Fourth Proportional to 309,401.64, 464,102.87 and 84,764.05

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Solution

The fourth proportional to 309,401.64, 464,102.87 and 84,764.05 is: 127,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,401.64 : 464,102.87 = 84,764.05 : x
  2. Step 2: Convert to fraction form
    309,401.64/464,102.87 = 84,764.05/x
  3. Step 3: Cross multiply
    309,401.64x = 464,102.87 × 84,764.05
  4. Step 4: Simplify right side
    309,401.64x = 39,339,238,877.82
  5. Step 5: Solve for x
    x = 39,339,238,877.82/309,401.64
  6. Step 6: Final answer
    x = 127,146.19

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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.