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Finding the Fourth Proportional to 389,713.50, 582,881.58 and 229,407.48

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Solution

The fourth proportional to 389,713.50, 582,881.58 and 229,407.48 is: 343,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,713.50 : 582,881.58 = 229,407.48 : x
  2. Step 2: Convert to fraction form
    389,713.50/582,881.58 = 229,407.48/x
  3. Step 3: Cross multiply
    389,713.50x = 582,881.58 × 229,407.48
  4. Step 4: Simplify right side
    389,713.50x = 133,717,394,406.22
  5. Step 5: Solve for x
    x = 133,717,394,406.22/389,713.50
  6. Step 6: Final answer
    x = 343,117.17

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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.