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Finding the Fourth Proportional to 309,797.04, 464,641.88 and 85,103.92

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Solution

The fourth proportional to 309,797.04, 464,641.88 and 85,103.92 is: 127,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,797.04 : 464,641.88 = 85,103.92 : x
  2. Step 2: Convert to fraction form
    309,797.04/464,641.88 = 85,103.92/x
  3. Step 3: Cross multiply
    309,797.04x = 464,641.88 × 85,103.92
  4. Step 4: Simplify right side
    309,797.04x = 39,542,845,384.17
  5. Step 5: Solve for x
    x = 39,542,845,384.17/309,797.04
  6. Step 6: Final answer
    x = 127,641.13

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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.