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Finding the Fourth Proportional to 631,509.12, 871,472.34 and 345,023.01

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Solution

The fourth proportional to 631,509.12, 871,472.34 and 345,023.01 is: 476,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,509.12 : 871,472.34 = 345,023.01 : x
  2. Step 2: Convert to fraction form
    631,509.12/871,472.34 = 345,023.01/x
  3. Step 3: Cross multiply
    631,509.12x = 871,472.34 × 345,023.01
  4. Step 4: Simplify right side
    631,509.12x = 300,678,009,878.54
  5. Step 5: Solve for x
    x = 300,678,009,878.54/631,509.12
  6. Step 6: Final answer
    x = 476,126.16

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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.