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Finding the Fourth Proportional to 277,148.80, 415,723.20 and 99,661.60

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Solution

The fourth proportional to 277,148.80, 415,723.20 and 99,661.60 is: 149,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,148.80 : 415,723.20 = 99,661.60 : x
  2. Step 2: Convert to fraction form
    277,148.80/415,723.20 = 99,661.60/x
  3. Step 3: Cross multiply
    277,148.80x = 415,723.20 × 99,661.60
  4. Step 4: Simplify right side
    277,148.80x = 41,431,639,269.12
  5. Step 5: Solve for x
    x = 41,431,639,269.12/277,148.80
  6. Step 6: Final answer
    x = 149,492.40

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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.