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Finding the Fourth Proportional to 553,806.52, 830,709.68 and 133,082.40

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Solution

The fourth proportional to 553,806.52, 830,709.68 and 133,082.40 is: 199,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,806.52 : 830,709.68 = 133,082.40 : x
  2. Step 2: Convert to fraction form
    553,806.52/830,709.68 = 133,082.40/x
  3. Step 3: Cross multiply
    553,806.52x = 830,709.68 × 133,082.40
  4. Step 4: Simplify right side
    553,806.52x = 110,552,837,917.63
  5. Step 5: Solve for x
    x = 110,552,837,917.63/553,806.52
  6. Step 6: Final answer
    x = 199,623.58

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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.