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Finding the Fourth Proportional to 421,016.49, 631,681.88 and 252,657.59

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Solution

The fourth proportional to 421,016.49, 631,681.88 and 252,657.59 is: 379,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,016.49 : 631,681.88 = 252,657.59 : x
  2. Step 2: Convert to fraction form
    421,016.49/631,681.88 = 252,657.59/x
  3. Step 3: Cross multiply
    421,016.49x = 631,681.88 × 252,657.59
  4. Step 4: Simplify right side
    421,016.49x = 159,599,217,025.77
  5. Step 5: Solve for x
    x = 159,599,217,025.77/421,016.49
  6. Step 6: Final answer
    x = 379,080.68

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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.