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Finding the Fourth Proportional to 553,893.42, 830,840.14 and 133,169.30

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Solution

The fourth proportional to 553,893.42, 830,840.14 and 133,169.30 is: 199,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,893.42 : 830,840.14 = 133,169.30 : x
  2. Step 2: Convert to fraction form
    553,893.42/830,840.14 = 133,169.30/x
  3. Step 3: Cross multiply
    553,893.42x = 830,840.14 × 133,169.30
  4. Step 4: Simplify right side
    553,893.42x = 110,642,399,855.70
  5. Step 5: Solve for x
    x = 110,642,399,855.70/553,893.42
  6. Step 6: Final answer
    x = 199,753.95

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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.