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Finding the Fourth Proportional to 1,443,764.02, 2,164,898.48 and 769,664.20

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Solution

The fourth proportional to 1,443,764.02, 2,164,898.48 and 769,664.20 is: 1,154,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443,764.02 : 2,164,898.48 = 769,664.20 : x
  2. Step 2: Convert to fraction form
    1,443,764.02/2,164,898.48 = 769,664.20/x
  3. Step 3: Cross multiply
    1,443,764.02x = 2,164,898.48 × 769,664.20
  4. Step 4: Simplify right side
    1,443,764.02x = 1,666,244,856,690.42
  5. Step 5: Solve for x
    x = 1,666,244,856,690.42/1,443,764.02
  6. Step 6: Final answer
    x = 1,154,097.78

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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.