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Finding the Fourth Proportional to 280,137.04, 420,291.16 and 167,942.16

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Solution

The fourth proportional to 280,137.04, 420,291.16 and 167,942.16 is: 251,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,137.04 : 420,291.16 = 167,942.16 : x
  2. Step 2: Convert to fraction form
    280,137.04/420,291.16 = 167,942.16/x
  3. Step 3: Cross multiply
    280,137.04x = 420,291.16 × 167,942.16
  4. Step 4: Simplify right side
    280,137.04x = 70,584,605,239.31
  5. Step 5: Solve for x
    x = 70,584,605,239.31/280,137.04
  6. Step 6: Final answer
    x = 251,964.56

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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.