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Finding the Fourth Proportional to 553,212.64, 829,439.88 and 198,218.80

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Solution

The fourth proportional to 553,212.64, 829,439.88 and 198,218.80 is: 297,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,212.64 : 829,439.88 = 198,218.80 : x
  2. Step 2: Convert to fraction form
    553,212.64/829,439.88 = 198,218.80/x
  3. Step 3: Cross multiply
    553,212.64x = 829,439.88 × 198,218.80
  4. Step 4: Simplify right side
    553,212.64x = 164,410,577,685.74
  5. Step 5: Solve for x
    x = 164,410,577,685.74/553,212.64
  6. Step 6: Final answer
    x = 297,192.37

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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.