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Finding the Fourth Proportional to 617,835.20, 926,752.80 and 218,472.80

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Solution

The fourth proportional to 617,835.20, 926,752.80 and 218,472.80 is: 327,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,835.20 : 926,752.80 = 218,472.80 : x
  2. Step 2: Convert to fraction form
    617,835.20/926,752.80 = 218,472.80/x
  3. Step 3: Cross multiply
    617,835.20x = 926,752.80 × 218,472.80
  4. Step 4: Simplify right side
    617,835.20x = 202,470,279,123.84
  5. Step 5: Solve for x
    x = 202,470,279,123.84/617,835.20
  6. Step 6: Final answer
    x = 327,709.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.