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Finding the Fourth Proportional to 631,665.90, 871,697.16 and 345,187.80

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Solution

The fourth proportional to 631,665.90, 871,697.16 and 345,187.80 is: 476,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,665.90 : 871,697.16 = 345,187.80 : x
  2. Step 2: Convert to fraction form
    631,665.90/871,697.16 = 345,187.80/x
  3. Step 3: Cross multiply
    631,665.90x = 871,697.16 × 345,187.80
  4. Step 4: Simplify right side
    631,665.90x = 300,899,224,926.65
  5. Step 5: Solve for x
    x = 300,899,224,926.65/631,665.90
  6. Step 6: Final answer
    x = 476,358.19

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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.