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Finding the Fourth Proportional to 309,978.08, 464,963.88 and 99,616.22

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Solution

The fourth proportional to 309,978.08, 464,963.88 and 99,616.22 is: 149,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,978.08 : 464,963.88 = 99,616.22 : x
  2. Step 2: Convert to fraction form
    309,978.08/464,963.88 = 99,616.22/x
  3. Step 3: Cross multiply
    309,978.08x = 464,963.88 × 99,616.22
  4. Step 4: Simplify right side
    309,978.08x = 46,317,944,162.13
  5. Step 5: Solve for x
    x = 46,317,944,162.13/309,978.08
  6. Step 6: Final answer
    x = 149,423.29

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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.