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Finding the Fourth Proportional to 418,820.86, 628,231.38 and 292,707.44

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Solution

The fourth proportional to 418,820.86, 628,231.38 and 292,707.44 is: 439,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,820.86 : 628,231.38 = 292,707.44 : x
  2. Step 2: Convert to fraction form
    418,820.86/628,231.38 = 292,707.44/x
  3. Step 3: Cross multiply
    418,820.86x = 628,231.38 × 292,707.44
  4. Step 4: Simplify right side
    418,820.86x = 183,887,998,967.47
  5. Step 5: Solve for x
    x = 183,887,998,967.47/418,820.86
  6. Step 6: Final answer
    x = 439,061.22

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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.