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Finding the Fourth Proportional to 412,965.92, 569,289.79 and 291,893.60

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Solution

The fourth proportional to 412,965.92, 569,289.79 and 291,893.60 is: 402,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,965.92 : 569,289.79 = 291,893.60 : x
  2. Step 2: Convert to fraction form
    412,965.92/569,289.79 = 291,893.60/x
  3. Step 3: Cross multiply
    412,965.92x = 569,289.79 × 291,893.60
  4. Step 4: Simplify right side
    412,965.92x = 166,172,046,246.34
  5. Step 5: Solve for x
    x = 166,172,046,246.34/412,965.92
  6. Step 6: Final answer
    x = 402,386.83

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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.