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Finding the Fourth Proportional to 510,957.87, 705,122.07 and 296,222.43

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Solution

The fourth proportional to 510,957.87, 705,122.07 and 296,222.43 is: 408,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,957.87 : 705,122.07 = 296,222.43 : x
  2. Step 2: Convert to fraction form
    510,957.87/705,122.07 = 296,222.43/x
  3. Step 3: Cross multiply
    510,957.87x = 705,122.07 × 296,222.43
  4. Step 4: Simplify right side
    510,957.87x = 208,872,973,022.03
  5. Step 5: Solve for x
    x = 208,872,973,022.03/510,957.87
  6. Step 6: Final answer
    x = 408,787.07

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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.