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Finding the Fourth Proportional to 631,506.12, 871,468.25 and 345,020.06

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Solution

The fourth proportional to 631,506.12, 871,468.25 and 345,020.06 is: 476,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,506.12 : 871,468.25 = 345,020.06 : x
  2. Step 2: Convert to fraction form
    631,506.12/871,468.25 = 345,020.06/x
  3. Step 3: Cross multiply
    631,506.12x = 871,468.25 × 345,020.06
  4. Step 4: Simplify right side
    631,506.12x = 300,674,021,820.65
  5. Step 5: Solve for x
    x = 300,674,021,820.65/631,506.12
  6. Step 6: Final answer
    x = 476,122.10

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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.