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Finding the Fourth Proportional to 545,082.87, 817,678.82 and 208,406.78

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Solution

The fourth proportional to 545,082.87, 817,678.82 and 208,406.78 is: 312,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,082.87 : 817,678.82 = 208,406.78 : x
  2. Step 2: Convert to fraction form
    545,082.87/817,678.82 = 208,406.78/x
  3. Step 3: Cross multiply
    545,082.87x = 817,678.82 × 208,406.78
  4. Step 4: Simplify right side
    545,082.87x = 170,409,809,950.40
  5. Step 5: Solve for x
    x = 170,409,809,950.40/545,082.87
  6. Step 6: Final answer
    x = 312,631.01

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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.