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Finding the Fourth Proportional to 309,961.98, 464,943 and 99,747.54

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Solution

The fourth proportional to 309,961.98, 464,943 and 99,747.54 is: 149,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,961.98 : 464,943 = 99,747.54 : x
  2. Step 2: Convert to fraction form
    309,961.98/464,943 = 99,747.54/x
  3. Step 3: Cross multiply
    309,961.98x = 464,943 × 99,747.54
  4. Step 4: Simplify right side
    309,961.98x = 46,376,920,490.22
  5. Step 5: Solve for x
    x = 46,376,920,490.22/309,961.98
  6. Step 6: Final answer
    x = 149,621.32

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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.