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Finding the Fourth Proportional to 478,460.80, 659,832.38 and 349,194.52

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Solution

The fourth proportional to 478,460.80, 659,832.38 and 349,194.52 is: 481,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,460.80 : 659,832.38 = 349,194.52 : x
  2. Step 2: Convert to fraction form
    478,460.80/659,832.38 = 349,194.52/x
  3. Step 3: Cross multiply
    478,460.80x = 659,832.38 × 349,194.52
  4. Step 4: Simplify right side
    478,460.80x = 230,409,851,214.56
  5. Step 5: Solve for x
    x = 230,409,851,214.56/478,460.80
  6. Step 6: Final answer
    x = 481,564.74

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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.