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Finding the Fourth Proportional to 399,204, 598,904.64 and 118,720.08

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Solution

The fourth proportional to 399,204, 598,904.64 and 118,720.08 is: 178,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,204 : 598,904.64 = 118,720.08 : x
  2. Step 2: Convert to fraction form
    399,204/598,904.64 = 118,720.08/x
  3. Step 3: Cross multiply
    399,204x = 598,904.64 × 118,720.08
  4. Step 4: Simplify right side
    399,204x = 71,102,006,773.17
  5. Step 5: Solve for x
    x = 71,102,006,773.17/399,204
  6. Step 6: Final answer
    x = 178,109.45

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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.