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Finding the Fourth Proportional to 429,384.94, 643,080.78 and 414,438.60

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Solution

The fourth proportional to 429,384.94, 643,080.78 and 414,438.60 is: 620,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,384.94 : 643,080.78 = 414,438.60 : x
  2. Step 2: Convert to fraction form
    429,384.94/643,080.78 = 414,438.60/x
  3. Step 3: Cross multiply
    429,384.94x = 643,080.78 × 414,438.60
  4. Step 4: Simplify right side
    429,384.94x = 266,517,498,150.11
  5. Step 5: Solve for x
    x = 266,517,498,150.11/429,384.94
  6. Step 6: Final answer
    x = 620,695.96

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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.