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Finding the Fourth Proportional to 667,325.20, 921,000.40 and 409,156.48

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Solution

The fourth proportional to 667,325.20, 921,000.40 and 409,156.48 is: 564,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,325.20 : 921,000.40 = 409,156.48 : x
  2. Step 2: Convert to fraction form
    667,325.20/921,000.40 = 409,156.48/x
  3. Step 3: Cross multiply
    667,325.20x = 921,000.40 × 409,156.48
  4. Step 4: Simplify right side
    667,325.20x = 376,833,281,742.59
  5. Step 5: Solve for x
    x = 376,833,281,742.59/667,325.20
  6. Step 6: Final answer
    x = 564,692.12

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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.