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Finding the Fourth Proportional to 442,490,662.80, 663,169,123.80 and 393,739,808.40

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Solution

The fourth proportional to 442,490,662.80, 663,169,123.80 and 393,739,808.40 is: 590,105,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,490,662.80 : 663,169,123.80 = 393,739,808.40 : x
  2. Step 2: Convert to fraction form
    442,490,662.80/663,169,123.80 = 393,739,808.40/x
  3. Step 3: Cross multiply
    442,490,662.80x = 663,169,123.80 × 393,739,808.40
  4. Step 4: Simplify right side
    442,490,662.80x = 261,116,083,741,807,840
  5. Step 5: Solve for x
    x = 261,116,083,741,807,840/442,490,662.80
  6. Step 6: Final answer
    x = 590,105,296.44

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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.