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Finding the Fourth Proportional to 650,247.94, 897,281.31 and 405,209.98

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Solution

The fourth proportional to 650,247.94, 897,281.31 and 405,209.98 is: 559,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,247.94 : 897,281.31 = 405,209.98 : x
  2. Step 2: Convert to fraction form
    650,247.94/897,281.31 = 405,209.98/x
  3. Step 3: Cross multiply
    650,247.94x = 897,281.31 × 405,209.98
  4. Step 4: Simplify right side
    650,247.94x = 363,587,341,679.47
  5. Step 5: Solve for x
    x = 363,587,341,679.47/650,247.94
  6. Step 6: Final answer
    x = 559,151.85

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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.