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Finding the Fourth Proportional to 485,768.80, 728,264.40 and 205,055.20

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Solution

The fourth proportional to 485,768.80, 728,264.40 and 205,055.20 is: 307,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,768.80 : 728,264.40 = 205,055.20 : x
  2. Step 2: Convert to fraction form
    485,768.80/728,264.40 = 205,055.20/x
  3. Step 3: Cross multiply
    485,768.80x = 728,264.40 × 205,055.20
  4. Step 4: Simplify right side
    485,768.80x = 149,334,402,194.88
  5. Step 5: Solve for x
    x = 149,334,402,194.88/485,768.80
  6. Step 6: Final answer
    x = 307,418.68

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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.