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Finding the Fourth Proportional to 463,893, 640,172.34 and 262,727.88

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Solution

The fourth proportional to 463,893, 640,172.34 and 262,727.88 is: 362,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,893 : 640,172.34 = 262,727.88 : x
  2. Step 2: Convert to fraction form
    463,893/640,172.34 = 262,727.88/x
  3. Step 3: Cross multiply
    463,893x = 640,172.34 × 262,727.88
  4. Step 4: Simplify right side
    463,893x = 168,191,121,722.84
  5. Step 5: Solve for x
    x = 168,191,121,722.84/463,893
  6. Step 6: Final answer
    x = 362,564.47

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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.