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Finding the Fourth Proportional to 309,808.16, 464,664 and 85,185.44

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Solution

The fourth proportional to 309,808.16, 464,664 and 85,185.44 is: 127,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,808.16 : 464,664 = 85,185.44 : x
  2. Step 2: Convert to fraction form
    309,808.16/464,664 = 85,185.44/x
  3. Step 3: Cross multiply
    309,808.16x = 464,664 × 85,185.44
  4. Step 4: Simplify right side
    309,808.16x = 39,582,607,292.16
  5. Step 5: Solve for x
    x = 39,582,607,292.16/309,808.16
  6. Step 6: Final answer
    x = 127,764.90

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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.