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Finding the Fourth Proportional to 283,797.78, 391,643.58 and 156,477.90

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Solution

The fourth proportional to 283,797.78, 391,643.58 and 156,477.90 is: 215,940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,797.78 : 391,643.58 = 156,477.90 : x
  2. Step 2: Convert to fraction form
    283,797.78/391,643.58 = 156,477.90/x
  3. Step 3: Cross multiply
    283,797.78x = 391,643.58 × 156,477.90
  4. Step 4: Simplify right side
    283,797.78x = 61,283,564,946.88
  5. Step 5: Solve for x
    x = 61,283,564,946.88/283,797.78
  6. Step 6: Final answer
    x = 215,940.96

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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.