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Finding the Fourth Proportional to 519,178, 778,851.24 and 203,463.76

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Solution

The fourth proportional to 519,178, 778,851.24 and 203,463.76 is: 305,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,178 : 778,851.24 = 203,463.76 : x
  2. Step 2: Convert to fraction form
    519,178/778,851.24 = 203,463.76/x
  3. Step 3: Cross multiply
    519,178x = 778,851.24 × 203,463.76
  4. Step 4: Simplify right side
    519,178x = 158,468,001,771.06
  5. Step 5: Solve for x
    x = 158,468,001,771.06/519,178
  6. Step 6: Final answer
    x = 305,228.65

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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.