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Finding the Fourth Proportional to 667,323.19, 920,997.63 and 409,154.48

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Solution

The fourth proportional to 667,323.19, 920,997.63 and 409,154.48 is: 564,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,323.19 : 920,997.63 = 409,154.48 : x
  2. Step 2: Convert to fraction form
    667,323.19/920,997.63 = 409,154.48/x
  3. Step 3: Cross multiply
    667,323.19x = 920,997.63 × 409,154.48
  4. Step 4: Simplify right side
    667,323.19x = 376,830,306,383.88
  5. Step 5: Solve for x
    x = 376,830,306,383.88/667,323.19
  6. Step 6: Final answer
    x = 564,689.36

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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.