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Finding the Fourth Proportional to 288,214.70, 432,322.05 and 101,226.20

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Solution

The fourth proportional to 288,214.70, 432,322.05 and 101,226.20 is: 151,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,214.70 : 432,322.05 = 101,226.20 : x
  2. Step 2: Convert to fraction form
    288,214.70/432,322.05 = 101,226.20/x
  3. Step 3: Cross multiply
    288,214.70x = 432,322.05 × 101,226.20
  4. Step 4: Simplify right side
    288,214.70x = 43,762,318,297.71
  5. Step 5: Solve for x
    x = 43,762,318,297.71/288,214.70
  6. Step 6: Final answer
    x = 151,839.30

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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.