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Finding the Fourth Proportional to 463,630.64, 639,584.50 and 302,412.56

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Solution

The fourth proportional to 463,630.64, 639,584.50 and 302,412.56 is: 417,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,630.64 : 639,584.50 = 302,412.56 : x
  2. Step 2: Convert to fraction form
    463,630.64/639,584.50 = 302,412.56/x
  3. Step 3: Cross multiply
    463,630.64x = 639,584.50 × 302,412.56
  4. Step 4: Simplify right side
    463,630.64x = 193,418,385,981.32
  5. Step 5: Solve for x
    x = 193,418,385,981.32/463,630.64
  6. Step 6: Final answer
    x = 417,182.06

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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.