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Finding the Fourth Proportional to 511,380.13, 767,070.16 and 485,809.32

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Solution

The fourth proportional to 511,380.13, 767,070.16 and 485,809.32 is: 728,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,380.13 : 767,070.16 = 485,809.32 : x
  2. Step 2: Convert to fraction form
    511,380.13/767,070.16 = 485,809.32/x
  3. Step 3: Cross multiply
    511,380.13x = 767,070.16 × 485,809.32
  4. Step 4: Simplify right side
    511,380.13x = 372,649,832,506.26
  5. Step 5: Solve for x
    x = 372,649,832,506.26/511,380.13
  6. Step 6: Final answer
    x = 728,713.95

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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.