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Finding the Fourth Proportional to 347,085.88, 520,497.42 and 189,228.40

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Solution

The fourth proportional to 347,085.88, 520,497.42 and 189,228.40 is: 283,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,085.88 : 520,497.42 = 189,228.40 : x
  2. Step 2: Convert to fraction form
    347,085.88/520,497.42 = 189,228.40/x
  3. Step 3: Cross multiply
    347,085.88x = 520,497.42 × 189,228.40
  4. Step 4: Simplify right side
    347,085.88x = 98,492,891,979.88
  5. Step 5: Solve for x
    x = 98,492,891,979.88/347,085.88
  6. Step 6: Final answer
    x = 283,770.96

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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.