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Finding the Fourth Proportional to 505,979.16, 698,265.72 and 276,549.24

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Solution

The fourth proportional to 505,979.16, 698,265.72 and 276,549.24 is: 381,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,979.16 : 698,265.72 = 276,549.24 : x
  2. Step 2: Convert to fraction form
    505,979.16/698,265.72 = 276,549.24/x
  3. Step 3: Cross multiply
    505,979.16x = 698,265.72 × 276,549.24
  4. Step 4: Simplify right side
    505,979.16x = 193,104,854,184.05
  5. Step 5: Solve for x
    x = 193,104,854,184.05/505,979.16
  6. Step 6: Final answer
    x = 381,645.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.