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Finding the Fourth Proportional to 563,085.87, 777,058.83 and 308,441.31

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Solution

The fourth proportional to 563,085.87, 777,058.83 and 308,441.31 is: 425,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,085.87 : 777,058.83 = 308,441.31 : x
  2. Step 2: Convert to fraction form
    563,085.87/777,058.83 = 308,441.31/x
  3. Step 3: Cross multiply
    563,085.87x = 777,058.83 × 308,441.31
  4. Step 4: Simplify right side
    563,085.87x = 239,677,043,472.27
  5. Step 5: Solve for x
    x = 239,677,043,472.27/563,085.87
  6. Step 6: Final answer
    x = 425,649.19

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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.