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Finding the Fourth Proportional to 421,229.08, 631,954.40 and 151,384.48

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Solution

The fourth proportional to 421,229.08, 631,954.40 and 151,384.48 is: 227,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,229.08 : 631,954.40 = 151,384.48 : x
  2. Step 2: Convert to fraction form
    421,229.08/631,954.40 = 151,384.48/x
  3. Step 3: Cross multiply
    421,229.08x = 631,954.40 × 151,384.48
  4. Step 4: Simplify right side
    421,229.08x = 95,668,088,227.71
  5. Step 5: Solve for x
    x = 95,668,088,227.71/421,229.08
  6. Step 6: Final answer
    x = 227,116.53

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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.