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Finding the Fourth Proportional to 401,773.12, 602,642.40 and 121,282

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Solution

The fourth proportional to 401,773.12, 602,642.40 and 121,282 is: 181,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,773.12 : 602,642.40 = 121,282 : x
  2. Step 2: Convert to fraction form
    401,773.12/602,642.40 = 121,282/x
  3. Step 3: Cross multiply
    401,773.12x = 602,642.40 × 121,282
  4. Step 4: Simplify right side
    401,773.12x = 73,089,675,556.80
  5. Step 5: Solve for x
    x = 73,089,675,556.80/401,773.12
  6. Step 6: Final answer
    x = 181,917.78

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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.