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Finding the Fourth Proportional to 413,690.22, 620,331.01 and 242,954.78

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Solution

The fourth proportional to 413,690.22, 620,331.01 and 242,954.78 is: 364,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,690.22 : 620,331.01 = 242,954.78 : x
  2. Step 2: Convert to fraction form
    413,690.22/620,331.01 = 242,954.78/x
  3. Step 3: Cross multiply
    413,690.22x = 620,331.01 × 242,954.78
  4. Step 4: Simplify right side
    413,690.22x = 150,712,380,352.69
  5. Step 5: Solve for x
    x = 150,712,380,352.69/413,690.22
  6. Step 6: Final answer
    x = 364,312.17

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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.