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Finding the Fourth Proportional to 520,839.48, 781,190.10 and 146,892.60

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Solution

The fourth proportional to 520,839.48, 781,190.10 and 146,892.60 is: 220,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,839.48 : 781,190.10 = 146,892.60 : x
  2. Step 2: Convert to fraction form
    520,839.48/781,190.10 = 146,892.60/x
  3. Step 3: Cross multiply
    520,839.48x = 781,190.10 × 146,892.60
  4. Step 4: Simplify right side
    520,839.48x = 114,751,044,883.26
  5. Step 5: Solve for x
    x = 114,751,044,883.26/520,839.48
  6. Step 6: Final answer
    x = 220,319.41

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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.