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Finding the Fourth Proportional to 631,324, 871,221.96 and 344,844.16

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Solution

The fourth proportional to 631,324, 871,221.96 and 344,844.16 is: 475,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,324 : 871,221.96 = 344,844.16 : x
  2. Step 2: Convert to fraction form
    631,324/871,221.96 = 344,844.16/x
  3. Step 3: Cross multiply
    631,324x = 871,221.96 × 344,844.16
  4. Step 4: Simplify right side
    631,324x = 300,435,804,969.75
  5. Step 5: Solve for x
    x = 300,435,804,969.75/631,324
  6. Step 6: Final answer
    x = 475,882.12

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1.5x scale

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.