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Finding the Fourth Proportional to 412,971.30, 569,297.16 and 291,898.98

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Solution

The fourth proportional to 412,971.30, 569,297.16 and 291,898.98 is: 402,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,971.30 : 569,297.16 = 291,898.98 : x
  2. Step 2: Convert to fraction form
    412,971.30/569,297.16 = 291,898.98/x
  3. Step 3: Cross multiply
    412,971.30x = 569,297.16 × 291,898.98
  4. Step 4: Simplify right side
    412,971.30x = 166,177,260,320.90
  5. Step 5: Solve for x
    x = 166,177,260,320.90/412,971.30
  6. Step 6: Final answer
    x = 402,394.21

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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.