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Finding the Fourth Proportional to 405,557.20, 559,648.20 and 226,709.20

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Solution

The fourth proportional to 405,557.20, 559,648.20 and 226,709.20 is: 312,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,557.20 : 559,648.20 = 226,709.20 : x
  2. Step 2: Convert to fraction form
    405,557.20/559,648.20 = 226,709.20/x
  3. Step 3: Cross multiply
    405,557.20x = 559,648.20 × 226,709.20
  4. Step 4: Simplify right side
    405,557.20x = 126,877,395,703.44
  5. Step 5: Solve for x
    x = 126,877,395,703.44/405,557.20
  6. Step 6: Final answer
    x = 312,847.10

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1.5x scale

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.