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Finding the Fourth Proportional to 399,305.26, 598,955.46 and 99,784.30

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Solution

The fourth proportional to 399,305.26, 598,955.46 and 99,784.30 is: 149,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,305.26 : 598,955.46 = 99,784.30 : x
  2. Step 2: Convert to fraction form
    399,305.26/598,955.46 = 99,784.30/x
  3. Step 3: Cross multiply
    399,305.26x = 598,955.46 × 99,784.30
  4. Step 4: Simplify right side
    399,305.26x = 59,766,351,307.28
  5. Step 5: Solve for x
    x = 59,766,351,307.28/399,305.26
  6. Step 6: Final answer
    x = 149,675.84

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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.