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Finding the Fourth Proportional to 322,875.88, 484,190.94 and 147,649

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Solution

The fourth proportional to 322,875.88, 484,190.94 and 147,649 is: 221,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,875.88 : 484,190.94 = 147,649 : x
  2. Step 2: Convert to fraction form
    322,875.88/484,190.94 = 147,649/x
  3. Step 3: Cross multiply
    322,875.88x = 484,190.94 × 147,649
  4. Step 4: Simplify right side
    322,875.88x = 71,490,308,100.06
  5. Step 5: Solve for x
    x = 71,490,308,100.06/322,875.88
  6. Step 6: Final answer
    x = 221,417.31

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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.