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Finding the Fourth Proportional to 501,076.71, 691,514.15 and 297,248.31

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Solution

The fourth proportional to 501,076.71, 691,514.15 and 297,248.31 is: 410,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,076.71 : 691,514.15 = 297,248.31 : x
  2. Step 2: Convert to fraction form
    501,076.71/691,514.15 = 297,248.31/x
  3. Step 3: Cross multiply
    501,076.71x = 691,514.15 × 297,248.31
  4. Step 4: Simplify right side
    501,076.71x = 205,551,410,942.35
  5. Step 5: Solve for x
    x = 205,551,410,942.35/501,076.71
  6. Step 6: Final answer
    x = 410,219.45

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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.