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Finding the Fourth Proportional to 219,005.76, 328,544.16 and 85,813.80

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Solution

The fourth proportional to 219,005.76, 328,544.16 and 85,813.80 is: 128,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,005.76 : 328,544.16 = 85,813.80 : x
  2. Step 2: Convert to fraction form
    219,005.76/328,544.16 = 85,813.80/x
  3. Step 3: Cross multiply
    219,005.76x = 328,544.16 × 85,813.80
  4. Step 4: Simplify right side
    219,005.76x = 28,193,622,837.41
  5. Step 5: Solve for x
    x = 28,193,622,837.41/219,005.76
  6. Step 6: Final answer
    x = 128,734.62

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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.