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Finding the Fourth Proportional to 309,519.36, 464,248.80 and 99,100.80

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Solution

The fourth proportional to 309,519.36, 464,248.80 and 99,100.80 is: 148,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,519.36 : 464,248.80 = 99,100.80 : x
  2. Step 2: Convert to fraction form
    309,519.36/464,248.80 = 99,100.80/x
  3. Step 3: Cross multiply
    309,519.36x = 464,248.80 × 99,100.80
  4. Step 4: Simplify right side
    309,519.36x = 46,007,427,479.04
  5. Step 5: Solve for x
    x = 46,007,427,479.04/309,519.36
  6. Step 6: Final answer
    x = 148,641.52

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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.