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Finding the Fourth Proportional to 280,337.66, 420,692.21 and 154,066.09

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Solution

The fourth proportional to 280,337.66, 420,692.21 and 154,066.09 is: 231,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,337.66 : 420,692.21 = 154,066.09 : x
  2. Step 2: Convert to fraction form
    280,337.66/420,692.21 = 154,066.09/x
  3. Step 3: Cross multiply
    280,337.66x = 420,692.21 × 154,066.09
  4. Step 4: Simplify right side
    280,337.66x = 64,814,403,888.16
  5. Step 5: Solve for x
    x = 64,814,403,888.16/280,337.66
  6. Step 6: Final answer
    x = 231,201.20

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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.