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Finding the Fourth Proportional to 309,828.08, 464,781.04 and 99,409.52

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Solution

The fourth proportional to 309,828.08, 464,781.04 and 99,409.52 is: 149,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,828.08 : 464,781.04 = 99,409.52 : x
  2. Step 2: Convert to fraction form
    309,828.08/464,781.04 = 99,409.52/x
  3. Step 3: Cross multiply
    309,828.08x = 464,781.04 × 99,409.52
  4. Step 4: Simplify right side
    309,828.08x = 46,203,660,091.50
  5. Step 5: Solve for x
    x = 46,203,660,091.50/309,828.08
  6. Step 6: Final answer
    x = 149,126.77

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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.