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Finding the Fourth Proportional to 415,598.94, 623,245.32 and 149,287.95

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Solution

The fourth proportional to 415,598.94, 623,245.32 and 149,287.95 is: 223,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,598.94 : 623,245.32 = 149,287.95 : x
  2. Step 2: Convert to fraction form
    415,598.94/623,245.32 = 149,287.95/x
  3. Step 3: Cross multiply
    415,598.94x = 623,245.32 × 149,287.95
  4. Step 4: Simplify right side
    415,598.94x = 93,043,016,169.89
  5. Step 5: Solve for x
    x = 93,043,016,169.89/415,598.94
  6. Step 6: Final answer
    x = 223,876.93

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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.