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Finding the Fourth Proportional to 280,397.09, 419,925.19 and 161,708.60

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Solution

The fourth proportional to 280,397.09, 419,925.19 and 161,708.60 is: 242,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,397.09 : 419,925.19 = 161,708.60 : x
  2. Step 2: Convert to fraction form
    280,397.09/419,925.19 = 161,708.60/x
  3. Step 3: Cross multiply
    280,397.09x = 419,925.19 × 161,708.60
  4. Step 4: Simplify right side
    280,397.09x = 67,905,515,073.58
  5. Step 5: Solve for x
    x = 67,905,515,073.58/280,397.09
  6. Step 6: Final answer
    x = 242,176.25

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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.