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Finding the Fourth Proportional to 517,079.86, 775,632.75 and 143,106.10

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Solution

The fourth proportional to 517,079.86, 775,632.75 and 143,106.10 is: 214,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,079.86 : 775,632.75 = 143,106.10 : x
  2. Step 2: Convert to fraction form
    517,079.86/775,632.75 = 143,106.10/x
  3. Step 3: Cross multiply
    517,079.86x = 775,632.75 × 143,106.10
  4. Step 4: Simplify right side
    517,079.86x = 110,997,777,884.78
  5. Step 5: Solve for x
    x = 110,997,777,884.78/517,079.86
  6. Step 6: Final answer
    x = 214,662.74

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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.