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Finding the Fourth Proportional to 377,900.98, 521,518.16 and 214,572.78

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Solution

The fourth proportional to 377,900.98, 521,518.16 and 214,572.78 is: 296,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,900.98 : 521,518.16 = 214,572.78 : x
  2. Step 2: Convert to fraction form
    377,900.98/521,518.16 = 214,572.78/x
  3. Step 3: Cross multiply
    377,900.98x = 521,518.16 × 214,572.78
  4. Step 4: Simplify right side
    377,900.98x = 111,903,601,948.12
  5. Step 5: Solve for x
    x = 111,903,601,948.12/377,900.98
  6. Step 6: Final answer
    x = 296,118.85

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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.