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Finding the Fourth Proportional to 280,277.70, 419,954.85 and 161,742.30

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Solution

The fourth proportional to 280,277.70, 419,954.85 and 161,742.30 is: 242,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,277.70 : 419,954.85 = 161,742.30 : x
  2. Step 2: Convert to fraction form
    280,277.70/419,954.85 = 161,742.30/x
  3. Step 3: Cross multiply
    280,277.70x = 419,954.85 × 161,742.30
  4. Step 4: Simplify right side
    280,277.70x = 67,924,463,335.16
  5. Step 5: Solve for x
    x = 67,924,463,335.16/280,277.70
  6. Step 6: Final answer
    x = 242,347.01

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1.5x scale

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.