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Finding the Fourth Proportional to 1,090,699,472.64, 1,636,082,801.28 and 476,967,786.24

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Solution

The fourth proportional to 1,090,699,472.64, 1,636,082,801.28 and 476,967,786.24 is: 715,466,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,699,472.64 : 1,636,082,801.28 = 476,967,786.24 : x
  2. Step 2: Convert to fraction form
    1,090,699,472.64/1,636,082,801.28 = 476,967,786.24/x
  3. Step 3: Cross multiply
    1,090,699,472.64x = 1,636,082,801.28 × 476,967,786.24
  4. Step 4: Simplify right side
    1,090,699,472.64x = 780,358,791,831,859,456
  5. Step 5: Solve for x
    x = 780,358,791,831,859,456/1,090,699,472.64
  6. Step 6: Final answer
    x = 715,466,369.43

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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.