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Finding the Fourth Proportional to 311,579.90, 429,978.08 and 184,252.76

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Solution

The fourth proportional to 311,579.90, 429,978.08 and 184,252.76 is: 254,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,579.90 : 429,978.08 = 184,252.76 : x
  2. Step 2: Convert to fraction form
    311,579.90/429,978.08 = 184,252.76/x
  3. Step 3: Cross multiply
    311,579.90x = 429,978.08 × 184,252.76
  4. Step 4: Simplify right side
    311,579.90x = 79,224,647,058.24
  5. Step 5: Solve for x
    x = 79,224,647,058.24/311,579.90
  6. Step 6: Final answer
    x = 254,267.52

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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.