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Finding the Fourth Proportional to 309,846, 427,587.48 and 175,710

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Solution

The fourth proportional to 309,846, 427,587.48 and 175,710 is: 242,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,846 : 427,587.48 = 175,710 : x
  2. Step 2: Convert to fraction form
    309,846/427,587.48 = 175,710/x
  3. Step 3: Cross multiply
    309,846x = 427,587.48 × 175,710
  4. Step 4: Simplify right side
    309,846x = 75,131,396,110.80
  5. Step 5: Solve for x
    x = 75,131,396,110.80/309,846
  6. Step 6: Final answer
    x = 242,479.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.