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Finding the Fourth Proportional to 509,178.60, 763,670.70 and 154,204.20

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Solution

The fourth proportional to 509,178.60, 763,670.70 and 154,204.20 is: 231,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,178.60 : 763,670.70 = 154,204.20 : x
  2. Step 2: Convert to fraction form
    509,178.60/763,670.70 = 154,204.20/x
  3. Step 3: Cross multiply
    509,178.60x = 763,670.70 × 154,204.20
  4. Step 4: Simplify right side
    509,178.60x = 117,761,229,356.94
  5. Step 5: Solve for x
    x = 117,761,229,356.94/509,178.60
  6. Step 6: Final answer
    x = 231,276.86

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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.