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Finding the Fourth Proportional to 463,846, 640,107.48 and 262,642

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Solution

The fourth proportional to 463,846, 640,107.48 and 262,642 is: 362,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,846 : 640,107.48 = 262,642 : x
  2. Step 2: Convert to fraction form
    463,846/640,107.48 = 262,642/x
  3. Step 3: Cross multiply
    463,846x = 640,107.48 × 262,642
  4. Step 4: Simplify right side
    463,846x = 168,119,108,762.16
  5. Step 5: Solve for x
    x = 168,119,108,762.16/463,846
  6. Step 6: Final answer
    x = 362,445.96

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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.