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Finding the Fourth Proportional to 429,076.80, 643,615.20 and 329,738.40

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Solution

The fourth proportional to 429,076.80, 643,615.20 and 329,738.40 is: 494,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,076.80 : 643,615.20 = 329,738.40 : x
  2. Step 2: Convert to fraction form
    429,076.80/643,615.20 = 329,738.40/x
  3. Step 3: Cross multiply
    429,076.80x = 643,615.20 × 329,738.40
  4. Step 4: Simplify right side
    429,076.80x = 212,224,646,263.68
  5. Step 5: Solve for x
    x = 212,224,646,263.68/429,076.80
  6. Step 6: Final answer
    x = 494,607.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.