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Finding the Fourth Proportional to 362,100.80, 543,248.40 and 322,929.20

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Solution

The fourth proportional to 362,100.80, 543,248.40 and 322,929.20 is: 484,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,100.80 : 543,248.40 = 322,929.20 : x
  2. Step 2: Convert to fraction form
    362,100.80/543,248.40 = 322,929.20/x
  3. Step 3: Cross multiply
    362,100.80x = 543,248.40 × 322,929.20
  4. Step 4: Simplify right side
    362,100.80x = 175,430,771,213.28
  5. Step 5: Solve for x
    x = 175,430,771,213.28/362,100.80
  6. Step 6: Final answer
    x = 484,480.49

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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.