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Finding the Fourth Proportional to 561,710.69, 775,165.91 and 319,989.68

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Solution

The fourth proportional to 561,710.69, 775,165.91 and 319,989.68 is: 441,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,710.69 : 775,165.91 = 319,989.68 : x
  2. Step 2: Convert to fraction form
    561,710.69/775,165.91 = 319,989.68/x
  3. Step 3: Cross multiply
    561,710.69x = 775,165.91 × 319,989.68
  4. Step 4: Simplify right side
    561,710.69x = 248,045,086,012.03
  5. Step 5: Solve for x
    x = 248,045,086,012.03/561,710.69
  6. Step 6: Final answer
    x = 441,588.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.