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Finding the Fourth Proportional to 631,714.82, 871,855.52 and 402,198.89

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Solution

The fourth proportional to 631,714.82, 871,855.52 and 402,198.89 is: 555,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,714.82 : 871,855.52 = 402,198.89 : x
  2. Step 2: Convert to fraction form
    631,714.82/871,855.52 = 402,198.89/x
  3. Step 3: Cross multiply
    631,714.82x = 871,855.52 × 402,198.89
  4. Step 4: Simplify right side
    631,714.82x = 350,659,316,014.10
  5. Step 5: Solve for x
    x = 350,659,316,014.10/631,714.82
  6. Step 6: Final answer
    x = 555,091.17

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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.