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Finding the Fourth Proportional to 421,067.34, 631,851.13 and 155,014.67

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Solution

The fourth proportional to 421,067.34, 631,851.13 and 155,014.67 is: 232,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,067.34 : 631,851.13 = 155,014.67 : x
  2. Step 2: Convert to fraction form
    421,067.34/631,851.13 = 155,014.67/x
  3. Step 3: Cross multiply
    421,067.34x = 631,851.13 × 155,014.67
  4. Step 4: Simplify right side
    421,067.34x = 97,946,194,406.08
  5. Step 5: Solve for x
    x = 97,946,194,406.08/421,067.34
  6. Step 6: Final answer
    x = 232,614.09

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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.