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Finding the Fourth Proportional to 360,210.52, 539,832.78 and 280,344.91

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Solution

The fourth proportional to 360,210.52, 539,832.78 and 280,344.91 is: 420,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,210.52 : 539,832.78 = 280,344.91 : x
  2. Step 2: Convert to fraction form
    360,210.52/539,832.78 = 280,344.91/x
  3. Step 3: Cross multiply
    360,210.52x = 539,832.78 × 280,344.91
  4. Step 4: Simplify right side
    360,210.52x = 151,339,372,124.15
  5. Step 5: Solve for x
    x = 151,339,372,124.15/360,210.52
  6. Step 6: Final answer
    x = 420,141.46

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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.