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Finding the Fourth Proportional to 407,435.08, 611,185.28 and 154,836.60

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Solution

The fourth proportional to 407,435.08, 611,185.28 and 154,836.60 is: 232,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,435.08 : 611,185.28 = 154,836.60 : x
  2. Step 2: Convert to fraction form
    407,435.08/611,185.28 = 154,836.60/x
  3. Step 3: Cross multiply
    407,435.08x = 611,185.28 × 154,836.60
  4. Step 4: Simplify right side
    407,435.08x = 94,633,850,725.25
  5. Step 5: Solve for x
    x = 94,633,850,725.25/407,435.08
  6. Step 6: Final answer
    x = 232,267.31

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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.