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Finding the Fourth Proportional to 283,388.25, 391,069.85 and 156,064.89

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Solution

The fourth proportional to 283,388.25, 391,069.85 and 156,064.89 is: 215,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,388.25 : 391,069.85 = 156,064.89 : x
  2. Step 2: Convert to fraction form
    283,388.25/391,069.85 = 156,064.89/x
  3. Step 3: Cross multiply
    283,388.25x = 391,069.85 × 156,064.89
  4. Step 4: Simplify right side
    283,388.25x = 61,032,272,342.24
  5. Step 5: Solve for x
    x = 61,032,272,342.24/283,388.25
  6. Step 6: Final answer
    x = 215,366.28

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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.