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Finding the Fourth Proportional to 613,357.56, 920,429.94 and 297,642.24

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Solution

The fourth proportional to 613,357.56, 920,429.94 and 297,642.24 is: 446,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,357.56 : 920,429.94 = 297,642.24 : x
  2. Step 2: Convert to fraction form
    613,357.56/920,429.94 = 297,642.24/x
  3. Step 3: Cross multiply
    613,357.56x = 920,429.94 × 297,642.24
  4. Step 4: Simplify right side
    613,357.56x = 273,958,829,104.67
  5. Step 5: Solve for x
    x = 273,958,829,104.67/613,357.56
  6. Step 6: Final answer
    x = 446,654.36

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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.