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Finding the Fourth Proportional to 285,223.84, 393,654.72 and 217,132

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Solution

The fourth proportional to 285,223.84, 393,654.72 and 217,132 is: 299,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,223.84 : 393,654.72 = 217,132 : x
  2. Step 2: Convert to fraction form
    285,223.84/393,654.72 = 217,132/x
  3. Step 3: Cross multiply
    285,223.84x = 393,654.72 × 217,132
  4. Step 4: Simplify right side
    285,223.84x = 85,475,036,663.04
  5. Step 5: Solve for x
    x = 85,475,036,663.04/285,223.84
  6. Step 6: Final answer
    x = 299,677.04

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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.