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Finding the Fourth Proportional to 219,104.52, 328,792.86 and 140,275.32

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Solution

The fourth proportional to 219,104.52, 328,792.86 and 140,275.32 is: 210,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,104.52 : 328,792.86 = 140,275.32 : x
  2. Step 2: Convert to fraction form
    219,104.52/328,792.86 = 140,275.32/x
  3. Step 3: Cross multiply
    219,104.52x = 328,792.86 × 140,275.32
  4. Step 4: Simplify right side
    219,104.52x = 46,121,523,650.22
  5. Step 5: Solve for x
    x = 46,121,523,650.22/219,104.52
  6. Step 6: Final answer
    x = 210,500.10

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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.