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Finding the Fourth Proportional to 432,878.25, 649,298.90 and 422,741.51

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Solution

The fourth proportional to 432,878.25, 649,298.90 and 422,741.51 is: 634,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,878.25 : 649,298.90 = 422,741.51 : x
  2. Step 2: Convert to fraction form
    432,878.25/649,298.90 = 422,741.51/x
  3. Step 3: Cross multiply
    432,878.25x = 649,298.90 × 422,741.51
  4. Step 4: Simplify right side
    432,878.25x = 274,485,592,067.14
  5. Step 5: Solve for x
    x = 274,485,592,067.14/432,878.25
  6. Step 6: Final answer
    x = 634,094.21

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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.