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Finding the Fourth Proportional to 405,278.20, 607,261.20 and 381,658.60

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Solution

The fourth proportional to 405,278.20, 607,261.20 and 381,658.60 is: 571,870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,278.20 : 607,261.20 = 381,658.60 : x
  2. Step 2: Convert to fraction form
    405,278.20/607,261.20 = 381,658.60/x
  3. Step 3: Cross multiply
    405,278.20x = 607,261.20 × 381,658.60
  4. Step 4: Simplify right side
    405,278.20x = 231,766,459,426.32
  5. Step 5: Solve for x
    x = 231,766,459,426.32/405,278.20
  6. Step 6: Final answer
    x = 571,870.04

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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.