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Finding the Fourth Proportional to 407,887.44, 611,714.52 and 208,083.12

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Solution

The fourth proportional to 407,887.44, 611,714.52 and 208,083.12 is: 312,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,887.44 : 611,714.52 = 208,083.12 : x
  2. Step 2: Convert to fraction form
    407,887.44/611,714.52 = 208,083.12/x
  3. Step 3: Cross multiply
    407,887.44x = 611,714.52 × 208,083.12
  4. Step 4: Simplify right side
    407,887.44x = 127,287,465,870.90
  5. Step 5: Solve for x
    x = 127,287,465,870.90/407,887.44
  6. Step 6: Final answer
    x = 312,065.18

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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.