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Finding the Fourth Proportional to 510,957.26, 705,121.24 and 296,221.80

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Solution

The fourth proportional to 510,957.26, 705,121.24 and 296,221.80 is: 408,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,957.26 : 705,121.24 = 296,221.80 : x
  2. Step 2: Convert to fraction form
    510,957.26/705,121.24 = 296,221.80/x
  3. Step 3: Cross multiply
    510,957.26x = 705,121.24 × 296,221.80
  4. Step 4: Simplify right side
    510,957.26x = 208,872,282,931.03
  5. Step 5: Solve for x
    x = 208,872,282,931.03/510,957.26
  6. Step 6: Final answer
    x = 408,786.21

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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.