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Finding the Fourth Proportional to 485,770.30, 728,266.65 and 205,056.70

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Solution

The fourth proportional to 485,770.30, 728,266.65 and 205,056.70 is: 307,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,770.30 : 728,266.65 = 205,056.70 : x
  2. Step 2: Convert to fraction form
    485,770.30/728,266.65 = 205,056.70/x
  3. Step 3: Cross multiply
    485,770.30x = 728,266.65 × 205,056.70
  4. Step 4: Simplify right side
    485,770.30x = 149,335,955,969.06
  5. Step 5: Solve for x
    x = 149,335,955,969.06/485,770.30
  6. Step 6: Final answer
    x = 307,420.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.