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Finding the Fourth Proportional to 427,717.76, 589,642.07 and 291,577.01

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Solution

The fourth proportional to 427,717.76, 589,642.07 and 291,577.01 is: 401,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,717.76 : 589,642.07 = 291,577.01 : x
  2. Step 2: Convert to fraction form
    427,717.76/589,642.07 = 291,577.01/x
  3. Step 3: Cross multiply
    427,717.76x = 589,642.07 × 291,577.01
  4. Step 4: Simplify right side
    427,717.76x = 171,926,067,334.72
  5. Step 5: Solve for x
    x = 171,926,067,334.72/427,717.76
  6. Step 6: Final answer
    x = 401,961.49

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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.