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Finding the Fourth Proportional to 520,663.50, 780,696.36 and 204,948.18

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Solution

The fourth proportional to 520,663.50, 780,696.36 and 204,948.18 is: 307,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,663.50 : 780,696.36 = 204,948.18 : x
  2. Step 2: Convert to fraction form
    520,663.50/780,696.36 = 204,948.18/x
  3. Step 3: Cross multiply
    520,663.50x = 780,696.36 × 204,948.18
  4. Step 4: Simplify right side
    520,663.50x = 160,002,298,114.63
  5. Step 5: Solve for x
    x = 160,002,298,114.63/520,663.50
  6. Step 6: Final answer
    x = 307,304.62

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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.