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Finding the Fourth Proportional to 305,000.50, 420,799.86 and 184,095.88

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Solution

The fourth proportional to 305,000.50, 420,799.86 and 184,095.88 is: 253,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,000.50 : 420,799.86 = 184,095.88 : x
  2. Step 2: Convert to fraction form
    305,000.50/420,799.86 = 184,095.88/x
  3. Step 3: Cross multiply
    305,000.50x = 420,799.86 × 184,095.88
  4. Step 4: Simplify right side
    305,000.50x = 77,467,520,530.58
  5. Step 5: Solve for x
    x = 77,467,520,530.58/305,000.50
  6. Step 6: Final answer
    x = 253,991.45

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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.