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Finding the Fourth Proportional to 501,011.64, 691,405.74 and 274,643.64

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Solution

The fourth proportional to 501,011.64, 691,405.74 and 274,643.64 is: 379,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,011.64 : 691,405.74 = 274,643.64 : x
  2. Step 2: Convert to fraction form
    501,011.64/691,405.74 = 274,643.64/x
  3. Step 3: Cross multiply
    501,011.64x = 691,405.74 × 274,643.64
  4. Step 4: Simplify right side
    501,011.64x = 189,890,189,150.49
  5. Step 5: Solve for x
    x = 189,890,189,150.49/501,011.64
  6. Step 6: Final answer
    x = 379,013.53

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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.