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Finding the Fourth Proportional to 355,497.30, 490,261.14 and 277,983

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Solution

The fourth proportional to 355,497.30, 490,261.14 and 277,983 is: 383,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,497.30 : 490,261.14 = 277,983 : x
  2. Step 2: Convert to fraction form
    355,497.30/490,261.14 = 277,983/x
  3. Step 3: Cross multiply
    355,497.30x = 490,261.14 × 277,983
  4. Step 4: Simplify right side
    355,497.30x = 136,284,262,480.62
  5. Step 5: Solve for x
    x = 136,284,262,480.62/355,497.30
  6. Step 6: Final answer
    x = 383,362.30

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1.5x scale

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.