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Finding the Fourth Proportional to 553,810.66, 830,715.89 and 133,086.54

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Solution

The fourth proportional to 553,810.66, 830,715.89 and 133,086.54 is: 199,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,810.66 : 830,715.89 = 133,086.54 : x
  2. Step 2: Convert to fraction form
    553,810.66/830,715.89 = 133,086.54/x
  3. Step 3: Cross multiply
    553,810.66x = 830,715.89 × 133,086.54
  4. Step 4: Simplify right side
    553,810.66x = 110,557,103,523.12
  5. Step 5: Solve for x
    x = 110,557,103,523.12/553,810.66
  6. Step 6: Final answer
    x = 199,629.79

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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.