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Finding the Fourth Proportional to 561,441.29, 774,791.01 and 306,792.50

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Solution

The fourth proportional to 561,441.29, 774,791.01 and 306,792.50 is: 423,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,441.29 : 774,791.01 = 306,792.50 : x
  2. Step 2: Convert to fraction form
    561,441.29/774,791.01 = 306,792.50/x
  3. Step 3: Cross multiply
    561,441.29x = 774,791.01 × 306,792.50
  4. Step 4: Simplify right side
    561,441.29x = 237,700,067,061.47
  5. Step 5: Solve for x
    x = 237,700,067,061.47/561,441.29
  6. Step 6: Final answer
    x = 423,374.76

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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.