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Finding the Fourth Proportional to 421,134.84, 631,633.05 and 151,207.10

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Solution

The fourth proportional to 421,134.84, 631,633.05 and 151,207.10 is: 226,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,134.84 : 631,633.05 = 151,207.10 : x
  2. Step 2: Convert to fraction form
    421,134.84/631,633.05 = 151,207.10/x
  3. Step 3: Cross multiply
    421,134.84x = 631,633.05 × 151,207.10
  4. Step 4: Simplify right side
    421,134.84x = 95,507,401,754.66
  5. Step 5: Solve for x
    x = 95,507,401,754.66/421,134.84
  6. Step 6: Final answer
    x = 226,785.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.