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Finding the Fourth Proportional to 477,321.02, 715,944.06 and 277,514

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Solution

The fourth proportional to 477,321.02, 715,944.06 and 277,514 is: 416,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,321.02 : 715,944.06 = 277,514 : x
  2. Step 2: Convert to fraction form
    477,321.02/715,944.06 = 277,514/x
  3. Step 3: Cross multiply
    477,321.02x = 715,944.06 × 277,514
  4. Step 4: Simplify right side
    477,321.02x = 198,684,499,866.84
  5. Step 5: Solve for x
    x = 198,684,499,866.84/477,321.02
  6. Step 6: Final answer
    x = 416,249.21

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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.