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Finding the Fourth Proportional to 426,308.52, 588,223.94 and 256,553.58

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Solution

The fourth proportional to 426,308.52, 588,223.94 and 256,553.58 is: 353,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,308.52 : 588,223.94 = 256,553.58 : x
  2. Step 2: Convert to fraction form
    426,308.52/588,223.94 = 256,553.58/x
  3. Step 3: Cross multiply
    426,308.52x = 588,223.94 × 256,553.58
  4. Step 4: Simplify right side
    426,308.52x = 150,910,957,648.71
  5. Step 5: Solve for x
    x = 150,910,957,648.71/426,308.52
  6. Step 6: Final answer
    x = 353,994.70

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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.