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Finding the Fourth Proportional to 389,710.50, 582,877.08 and 229,404.48

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Solution

The fourth proportional to 389,710.50, 582,877.08 and 229,404.48 is: 343,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,710.50 : 582,877.08 = 229,404.48 : x
  2. Step 2: Convert to fraction form
    389,710.50/582,877.08 = 229,404.48/x
  3. Step 3: Cross multiply
    389,710.50x = 582,877.08 × 229,404.48
  4. Step 4: Simplify right side
    389,710.50x = 133,714,613,441.32
  5. Step 5: Solve for x
    x = 133,714,613,441.32/389,710.50
  6. Step 6: Final answer
    x = 343,112.68

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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.