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Finding the Fourth Proportional to 631,714.64, 871,826.31 and 345,277.78

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Solution

The fourth proportional to 631,714.64, 871,826.31 and 345,277.78 is: 476,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,714.64 : 871,826.31 = 345,277.78 : x
  2. Step 2: Convert to fraction form
    631,714.64/871,826.31 = 345,277.78/x
  3. Step 3: Cross multiply
    631,714.64x = 871,826.31 × 345,277.78
  4. Step 4: Simplify right side
    631,714.64x = 301,022,252,862.39
  5. Step 5: Solve for x
    x = 301,022,252,862.39/631,714.64
  6. Step 6: Final answer
    x = 476,516.19

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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.