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Finding the Fourth Proportional to 463,869.72, 640,122.30 and 262,666.20

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Solution

The fourth proportional to 463,869.72, 640,122.30 and 262,666.20 is: 362,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,869.72 : 640,122.30 = 262,666.20 : x
  2. Step 2: Convert to fraction form
    463,869.72/640,122.30 = 262,666.20/x
  3. Step 3: Cross multiply
    463,869.72x = 640,122.30 × 262,666.20
  4. Step 4: Simplify right side
    463,869.72x = 168,138,492,076.26
  5. Step 5: Solve for x
    x = 168,138,492,076.26/463,869.72
  6. Step 6: Final answer
    x = 362,469.21

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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.