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Finding the Fourth Proportional to 478,773.86, 660,712.37 and 263,921.63

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Solution

The fourth proportional to 478,773.86, 660,712.37 and 263,921.63 is: 364,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,773.86 : 660,712.37 = 263,921.63 : x
  2. Step 2: Convert to fraction form
    478,773.86/660,712.37 = 263,921.63/x
  3. Step 3: Cross multiply
    478,773.86x = 660,712.37 × 263,921.63
  4. Step 4: Simplify right side
    478,773.86x = 174,376,281,028.39
  5. Step 5: Solve for x
    x = 174,376,281,028.39/478,773.86
  6. Step 6: Final answer
    x = 364,214.29

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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.