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Finding the Fourth Proportional to 412,936.20, 569,248.80 and 291,863.88

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Solution

The fourth proportional to 412,936.20, 569,248.80 and 291,863.88 is: 402,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,936.20 : 569,248.80 = 291,863.88 : x
  2. Step 2: Convert to fraction form
    412,936.20/569,248.80 = 291,863.88/x
  3. Step 3: Cross multiply
    412,936.20x = 569,248.80 × 291,863.88
  4. Step 4: Simplify right side
    412,936.20x = 166,143,163,453.34
  5. Step 5: Solve for x
    x = 166,143,163,453.34/412,936.20
  6. Step 6: Final answer
    x = 402,345.84

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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.