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Finding the Fourth Proportional to 420,783.84, 631,510.56 and 221,221.44

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Solution

The fourth proportional to 420,783.84, 631,510.56 and 221,221.44 is: 332,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,783.84 : 631,510.56 = 221,221.44 : x
  2. Step 2: Convert to fraction form
    420,783.84/631,510.56 = 221,221.44/x
  3. Step 3: Cross multiply
    420,783.84x = 631,510.56 × 221,221.44
  4. Step 4: Simplify right side
    420,783.84x = 139,703,675,458.41
  5. Step 5: Solve for x
    x = 139,703,675,458.41/420,783.84
  6. Step 6: Final answer
    x = 332,008.18

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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.