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Finding the Fourth Proportional to 413,842.32, 620,767.80 and 331,261.20

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Solution

The fourth proportional to 413,842.32, 620,767.80 and 331,261.20 is: 496,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,842.32 : 620,767.80 = 331,261.20 : x
  2. Step 2: Convert to fraction form
    413,842.32/620,767.80 = 331,261.20/x
  3. Step 3: Cross multiply
    413,842.32x = 620,767.80 × 331,261.20
  4. Step 4: Simplify right side
    413,842.32x = 205,636,286,349.36
  5. Step 5: Solve for x
    x = 205,636,286,349.36/413,842.32
  6. Step 6: Final answer
    x = 496,895.26

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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.