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Finding the Fourth Proportional to 520,270.50, 780,047.18 and 204,763.62

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Solution

The fourth proportional to 520,270.50, 780,047.18 and 204,763.62 is: 307,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,270.50 : 780,047.18 = 204,763.62 : x
  2. Step 2: Convert to fraction form
    520,270.50/780,047.18 = 204,763.62/x
  3. Step 3: Cross multiply
    520,270.50x = 780,047.18 × 204,763.62
  4. Step 4: Simplify right side
    520,270.50x = 159,725,284,347.59
  5. Step 5: Solve for x
    x = 159,725,284,347.59/520,270.50
  6. Step 6: Final answer
    x = 307,004.31

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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.