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Finding the Fourth Proportional to 405,617.64, 559,729.70 and 221,819.94

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Solution

The fourth proportional to 405,617.64, 559,729.70 and 221,819.94 is: 306,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,617.64 : 559,729.70 = 221,819.94 : x
  2. Step 2: Convert to fraction form
    405,617.64/559,729.70 = 221,819.94/x
  3. Step 3: Cross multiply
    405,617.64x = 559,729.70 × 221,819.94
  4. Step 4: Simplify right side
    405,617.64x = 124,159,205,671.57
  5. Step 5: Solve for x
    x = 124,159,205,671.57/405,617.64
  6. Step 6: Final answer
    x = 306,099.13

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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.