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Finding the Fourth Proportional to 516,969.86, 775,491.65 and 137,888.44

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Solution

The fourth proportional to 516,969.86, 775,491.65 and 137,888.44 is: 206,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,969.86 : 775,491.65 = 137,888.44 : x
  2. Step 2: Convert to fraction form
    516,969.86/775,491.65 = 137,888.44/x
  3. Step 3: Cross multiply
    516,969.86x = 775,491.65 × 137,888.44
  4. Step 4: Simplify right side
    516,969.86x = 106,931,333,851.53
  5. Step 5: Solve for x
    x = 106,931,333,851.53/516,969.86
  6. Step 6: Final answer
    x = 206,842.49

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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.