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Finding the Fourth Proportional to 510,586.14, 765,880.17 and 210,737.82

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Solution

The fourth proportional to 510,586.14, 765,880.17 and 210,737.82 is: 316,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,586.14 : 765,880.17 = 210,737.82 : x
  2. Step 2: Convert to fraction form
    510,586.14/765,880.17 = 210,737.82/x
  3. Step 3: Cross multiply
    510,586.14x = 765,880.17 × 210,737.82
  4. Step 4: Simplify right side
    510,586.14x = 161,399,917,407.03
  5. Step 5: Solve for x
    x = 161,399,917,407.03/510,586.14
  6. Step 6: Final answer
    x = 316,107.13

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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.