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Finding the Fourth Proportional to 463,564.52, 639,728.10 and 302,522.60

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Solution

The fourth proportional to 463,564.52, 639,728.10 and 302,522.60 is: 417,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,564.52 : 639,728.10 = 302,522.60 : x
  2. Step 2: Convert to fraction form
    463,564.52/639,728.10 = 302,522.60/x
  3. Step 3: Cross multiply
    463,564.52x = 639,728.10 × 302,522.60
  4. Step 4: Simplify right side
    463,564.52x = 193,532,208,105.06
  5. Step 5: Solve for x
    x = 193,532,208,105.06/463,564.52
  6. Step 6: Final answer
    x = 417,487.10

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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.