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Finding the Fourth Proportional to 407,665.21, 611,262.38 and 158,055.61

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Solution

The fourth proportional to 407,665.21, 611,262.38 and 158,055.61 is: 236,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,665.21 : 611,262.38 = 158,055.61 : x
  2. Step 2: Convert to fraction form
    407,665.21/611,262.38 = 158,055.61/x
  3. Step 3: Cross multiply
    407,665.21x = 611,262.38 × 158,055.61
  4. Step 4: Simplify right side
    407,665.21x = 96,613,447,550.67
  5. Step 5: Solve for x
    x = 96,613,447,550.67/407,665.21
  6. Step 6: Final answer
    x = 236,992.13

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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.