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Finding the Fourth Proportional to 380,591.40, 571,762.26 and 268,529.88

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Solution

The fourth proportional to 380,591.40, 571,762.26 and 268,529.88 is: 403,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,591.40 : 571,762.26 = 268,529.88 : x
  2. Step 2: Convert to fraction form
    380,591.40/571,762.26 = 268,529.88/x
  3. Step 3: Cross multiply
    380,591.40x = 571,762.26 × 268,529.88
  4. Step 4: Simplify right side
    380,591.40x = 153,535,251,066.33
  5. Step 5: Solve for x
    x = 153,535,251,066.33/380,591.40
  6. Step 6: Final answer
    x = 403,412.30

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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.