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Finding the Fourth Proportional to 563,187.90, 777,194.73 and 305,058.90

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Solution

The fourth proportional to 563,187.90, 777,194.73 and 305,058.90 is: 420,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,187.90 : 777,194.73 = 305,058.90 : x
  2. Step 2: Convert to fraction form
    563,187.90/777,194.73 = 305,058.90/x
  3. Step 3: Cross multiply
    563,187.90x = 777,194.73 × 305,058.90
  4. Step 4: Simplify right side
    563,187.90x = 237,090,169,419.60
  5. Step 5: Solve for x
    x = 237,090,169,419.60/563,187.90
  6. Step 6: Final answer
    x = 420,978.81

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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.