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Finding the Fourth Proportional to 478,357.56, 660,109.14 and 263,493

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Solution

The fourth proportional to 478,357.56, 660,109.14 and 263,493 is: 363,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,357.56 : 660,109.14 = 263,493 : x
  2. Step 2: Convert to fraction form
    478,357.56/660,109.14 = 263,493/x
  3. Step 3: Cross multiply
    478,357.56x = 660,109.14 × 263,493
  4. Step 4: Simplify right side
    478,357.56x = 173,934,137,626.02
  5. Step 5: Solve for x
    x = 173,934,137,626.02/478,357.56
  6. Step 6: Final answer
    x = 363,606.96

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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.