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Finding the Fourth Proportional to 421,586, 581,978.40 and 268,828.96

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Solution

The fourth proportional to 421,586, 581,978.40 and 268,828.96 is: 371,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,586 : 581,978.40 = 268,828.96 : x
  2. Step 2: Convert to fraction form
    421,586/581,978.40 = 268,828.96/x
  3. Step 3: Cross multiply
    421,586x = 581,978.40 × 268,828.96
  4. Step 4: Simplify right side
    421,586x = 156,452,648,014.46
  5. Step 5: Solve for x
    x = 156,452,648,014.46/421,586
  6. Step 6: Final answer
    x = 371,104.94

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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.