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Finding the Fourth Proportional to 431,971.32, 648,175.62 and 291,434.70

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Solution

The fourth proportional to 431,971.32, 648,175.62 and 291,434.70 is: 437,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,971.32 : 648,175.62 = 291,434.70 : x
  2. Step 2: Convert to fraction form
    431,971.32/648,175.62 = 291,434.70/x
  3. Step 3: Cross multiply
    431,971.32x = 648,175.62 × 291,434.70
  4. Step 4: Simplify right side
    431,971.32x = 188,900,867,362.01
  5. Step 5: Solve for x
    x = 188,900,867,362.01/431,971.32
  6. Step 6: Final answer
    x = 437,299.56

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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.