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Finding the Fourth Proportional to 1,002,423,313.04, 1,383,231,978.42 and 556,405,475.09

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Solution

The fourth proportional to 1,002,423,313.04, 1,383,231,978.42 and 556,405,475.09 is: 767,777,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,423,313.04 : 1,383,231,978.42 = 556,405,475.09 : x
  2. Step 2: Convert to fraction form
    1,002,423,313.04/1,383,231,978.42 = 556,405,475.09/x
  3. Step 3: Cross multiply
    1,002,423,313.04x = 1,383,231,978.42 × 556,405,475.09
  4. Step 4: Simplify right side
    1,002,423,313.04x = 769,637,846,112,460,800
  5. Step 5: Solve for x
    x = 769,637,846,112,460,800/1,002,423,313.04
  6. Step 6: Final answer
    x = 767,777,281.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.