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Finding the Fourth Proportional to 503,993.64, 695,478.16 and 277,639.12

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Solution

The fourth proportional to 503,993.64, 695,478.16 and 277,639.12 is: 383,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,993.64 : 695,478.16 = 277,639.12 : x
  2. Step 2: Convert to fraction form
    503,993.64/695,478.16 = 277,639.12/x
  3. Step 3: Cross multiply
    503,993.64x = 695,478.16 × 277,639.12
  4. Step 4: Simplify right side
    503,993.64x = 193,091,944,321.62
  5. Step 5: Solve for x
    x = 193,091,944,321.62/503,993.64
  6. Step 6: Final answer
    x = 383,123.77

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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.