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Finding the Fourth Proportional to 561,805.31, 775,291.33 and 307,156.50

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Solution

The fourth proportional to 561,805.31, 775,291.33 and 307,156.50 is: 423,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,805.31 : 775,291.33 = 307,156.50 : x
  2. Step 2: Convert to fraction form
    561,805.31/775,291.33 = 307,156.50/x
  3. Step 3: Cross multiply
    561,805.31x = 775,291.33 × 307,156.50
  4. Step 4: Simplify right side
    561,805.31x = 238,135,771,787.09
  5. Step 5: Solve for x
    x = 238,135,771,787.09/561,805.31
  6. Step 6: Final answer
    x = 423,875.97

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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.