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Finding the Fourth Proportional to 485,653, 728,304.51 and 205,192.12

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Solution

The fourth proportional to 485,653, 728,304.51 and 205,192.12 is: 307,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,653 : 728,304.51 = 205,192.12 : x
  2. Step 2: Convert to fraction form
    485,653/728,304.51 = 205,192.12/x
  3. Step 3: Cross multiply
    485,653x = 728,304.51 × 205,192.12
  4. Step 4: Simplify right side
    485,653x = 149,442,346,412.46
  5. Step 5: Solve for x
    x = 149,442,346,412.46/485,653
  6. Step 6: Final answer
    x = 307,714.25

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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.