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Finding the Fourth Proportional to 553,620.96, 829,786.26 and 254,133.20

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Solution

The fourth proportional to 553,620.96, 829,786.26 and 254,133.20 is: 380,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,620.96 : 829,786.26 = 254,133.20 : x
  2. Step 2: Convert to fraction form
    553,620.96/829,786.26 = 254,133.20/x
  3. Step 3: Cross multiply
    553,620.96x = 829,786.26 × 254,133.20
  4. Step 4: Simplify right side
    553,620.96x = 210,876,237,569.83
  5. Step 5: Solve for x
    x = 210,876,237,569.83/553,620.96
  6. Step 6: Final answer
    x = 380,903.64

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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.