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Finding the Fourth Proportional to 309,522.36, 464,253.30 and 99,103.80

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Solution

The fourth proportional to 309,522.36, 464,253.30 and 99,103.80 is: 148,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,522.36 : 464,253.30 = 99,103.80 : x
  2. Step 2: Convert to fraction form
    309,522.36/464,253.30 = 99,103.80/x
  3. Step 3: Cross multiply
    309,522.36x = 464,253.30 × 99,103.80
  4. Step 4: Simplify right side
    309,522.36x = 46,009,266,192.54
  5. Step 5: Solve for x
    x = 46,009,266,192.54/309,522.36
  6. Step 6: Final answer
    x = 148,646.02

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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.