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Finding the Fourth Proportional to 553,087.64, 829,803.68 and 198,104.72

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Solution

The fourth proportional to 553,087.64, 829,803.68 and 198,104.72 is: 297,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,087.64 : 829,803.68 = 198,104.72 : x
  2. Step 2: Convert to fraction form
    553,087.64/829,803.68 = 198,104.72/x
  3. Step 3: Cross multiply
    553,087.64x = 829,803.68 × 198,104.72
  4. Step 4: Simplify right side
    553,087.64x = 164,388,025,681.37
  5. Step 5: Solve for x
    x = 164,388,025,681.37/553,087.64
  6. Step 6: Final answer
    x = 297,218.77

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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.