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Finding the Fourth Proportional to 553,809.29, 830,713.83 and 133,085.16

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Solution

The fourth proportional to 553,809.29, 830,713.83 and 133,085.16 is: 199,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,809.29 : 830,713.83 = 133,085.16 : x
  2. Step 2: Convert to fraction form
    553,809.29/830,713.83 = 133,085.16/x
  3. Step 3: Cross multiply
    553,809.29x = 830,713.83 × 133,085.16
  4. Step 4: Simplify right side
    553,809.29x = 110,555,682,979.76
  5. Step 5: Solve for x
    x = 110,555,682,979.76/553,809.29
  6. Step 6: Final answer
    x = 199,627.71

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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.