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Finding the Fourth Proportional to 520,661.13, 780,692.80 and 204,945.81

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Solution

The fourth proportional to 520,661.13, 780,692.80 and 204,945.81 is: 307,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,661.13 : 780,692.80 = 204,945.81 : x
  2. Step 2: Convert to fraction form
    520,661.13/780,692.80 = 204,945.81/x
  3. Step 3: Cross multiply
    520,661.13x = 780,692.80 × 204,945.81
  4. Step 4: Simplify right side
    520,661.13x = 159,999,718,257.17
  5. Step 5: Solve for x
    x = 159,999,718,257.17/520,661.13
  6. Step 6: Final answer
    x = 307,301.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.