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Finding the Fourth Proportional to 412,368.76, 569,082.78 and 393,473.08

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Solution

The fourth proportional to 412,368.76, 569,082.78 and 393,473.08 is: 543,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,368.76 : 569,082.78 = 393,473.08 : x
  2. Step 2: Convert to fraction form
    412,368.76/569,082.78 = 393,473.08/x
  3. Step 3: Cross multiply
    412,368.76x = 569,082.78 × 393,473.08
  4. Step 4: Simplify right side
    412,368.76x = 223,918,754,221.56
  5. Step 5: Solve for x
    x = 223,918,754,221.56/412,368.76
  6. Step 6: Final answer
    x = 543,006.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.