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Finding the Fourth Proportional to 510,957.40, 705,121.40 and 296,221.96

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Solution

The fourth proportional to 510,957.40, 705,121.40 and 296,221.96 is: 408,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,957.40 : 705,121.40 = 296,221.96 : x
  2. Step 2: Convert to fraction form
    510,957.40/705,121.40 = 296,221.96/x
  3. Step 3: Cross multiply
    510,957.40x = 705,121.40 × 296,221.96
  4. Step 4: Simplify right side
    510,957.40x = 208,872,443,145.94
  5. Step 5: Solve for x
    x = 208,872,443,145.94/510,957.40
  6. Step 6: Final answer
    x = 408,786.41

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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.