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Finding the Fourth Proportional to 429,100.55, 643,650.83 and 329,762.15

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Solution

The fourth proportional to 429,100.55, 643,650.83 and 329,762.15 is: 494,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,100.55 : 643,650.83 = 329,762.15 : x
  2. Step 2: Convert to fraction form
    429,100.55/643,650.83 = 329,762.15/x
  3. Step 3: Cross multiply
    429,100.55x = 643,650.83 × 329,762.15
  4. Step 4: Simplify right side
    429,100.55x = 212,251,679,901.27
  5. Step 5: Solve for x
    x = 212,251,679,901.27/429,100.55
  6. Step 6: Final answer
    x = 494,643.23

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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.