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Finding the Fourth Proportional to 347,709.60, 521,564.40 and 148,255.20

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Solution

The fourth proportional to 347,709.60, 521,564.40 and 148,255.20 is: 222,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,709.60 : 521,564.40 = 148,255.20 : x
  2. Step 2: Convert to fraction form
    347,709.60/521,564.40 = 148,255.20/x
  3. Step 3: Cross multiply
    347,709.60x = 521,564.40 × 148,255.20
  4. Step 4: Simplify right side
    347,709.60x = 77,324,634,434.88
  5. Step 5: Solve for x
    x = 77,324,634,434.88/347,709.60
  6. Step 6: Final answer
    x = 222,382.80

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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.