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Finding the Fourth Proportional to 309,257.12, 463,699.44 and 168,820.64

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Solution

The fourth proportional to 309,257.12, 463,699.44 and 168,820.64 is: 253,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,257.12 : 463,699.44 = 168,820.64 : x
  2. Step 2: Convert to fraction form
    309,257.12/463,699.44 = 168,820.64/x
  3. Step 3: Cross multiply
    309,257.12x = 463,699.44 × 168,820.64
  4. Step 4: Simplify right side
    309,257.12x = 78,282,036,228.44
  5. Step 5: Solve for x
    x = 78,282,036,228.44/309,257.12
  6. Step 6: Final answer
    x = 253,129.29

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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.