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Finding the Fourth Proportional to 517,243.86, 775,878.84 and 143,270.10

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Solution

The fourth proportional to 517,243.86, 775,878.84 and 143,270.10 is: 214,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,243.86 : 775,878.84 = 143,270.10 : x
  2. Step 2: Convert to fraction form
    517,243.86/775,878.84 = 143,270.10/x
  3. Step 3: Cross multiply
    517,243.86x = 775,878.84 × 143,270.10
  4. Step 4: Simplify right side
    517,243.86x = 111,160,238,994.68
  5. Step 5: Solve for x
    x = 111,160,238,994.68/517,243.86
  6. Step 6: Final answer
    x = 214,908.76

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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.