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Finding the Fourth Proportional to 309,957.60, 464,936.40 and 99,616.80

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Solution

The fourth proportional to 309,957.60, 464,936.40 and 99,616.80 is: 149,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,957.60 : 464,936.40 = 99,616.80 : x
  2. Step 2: Convert to fraction form
    309,957.60/464,936.40 = 99,616.80/x
  3. Step 3: Cross multiply
    309,957.60x = 464,936.40 × 99,616.80
  4. Step 4: Simplify right side
    309,957.60x = 46,315,476,371.52
  5. Step 5: Solve for x
    x = 46,315,476,371.52/309,957.60
  6. Step 6: Final answer
    x = 149,425.20

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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.