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Finding the Fourth Proportional to 369,150, 553,346.72 and 280,215.24

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Solution

The fourth proportional to 369,150, 553,346.72 and 280,215.24 is: 420,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,150 : 553,346.72 = 280,215.24 : x
  2. Step 2: Convert to fraction form
    369,150/553,346.72 = 280,215.24/x
  3. Step 3: Cross multiply
    369,150x = 553,346.72 × 280,215.24
  4. Step 4: Simplify right side
    369,150x = 155,056,183,948.01
  5. Step 5: Solve for x
    x = 155,056,183,948.01/369,150
  6. Step 6: Final answer
    x = 420,035.71

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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.