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Finding the Fourth Proportional to 509,003.40, 763,505.10 and 320,046.60

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Solution

The fourth proportional to 509,003.40, 763,505.10 and 320,046.60 is: 480,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,003.40 : 763,505.10 = 320,046.60 : x
  2. Step 2: Convert to fraction form
    509,003.40/763,505.10 = 320,046.60/x
  3. Step 3: Cross multiply
    509,003.40x = 763,505.10 × 320,046.60
  4. Step 4: Simplify right side
    509,003.40x = 244,357,211,337.66
  5. Step 5: Solve for x
    x = 244,357,211,337.66/509,003.40
  6. Step 6: Final answer
    x = 480,069.90

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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.