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Finding the Fourth Proportional to 501,189.66, 691,532.64 and 297,139.32

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Solution

The fourth proportional to 501,189.66, 691,532.64 and 297,139.32 is: 409,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,189.66 : 691,532.64 = 297,139.32 : x
  2. Step 2: Convert to fraction form
    501,189.66/691,532.64 = 297,139.32/x
  3. Step 3: Cross multiply
    501,189.66x = 691,532.64 × 297,139.32
  4. Step 4: Simplify right side
    501,189.66x = 205,481,538,407.41
  5. Step 5: Solve for x
    x = 205,481,538,407.41/501,189.66
  6. Step 6: Final answer
    x = 409,987.59

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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.