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Finding the Fourth Proportional to 219,013.60, 328,520.40 and 85,898.20

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Solution

The fourth proportional to 219,013.60, 328,520.40 and 85,898.20 is: 128,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,013.60 : 328,520.40 = 85,898.20 : x
  2. Step 2: Convert to fraction form
    219,013.60/328,520.40 = 85,898.20/x
  3. Step 3: Cross multiply
    219,013.60x = 328,520.40 × 85,898.20
  4. Step 4: Simplify right side
    219,013.60x = 28,219,311,023.28
  5. Step 5: Solve for x
    x = 28,219,311,023.28/219,013.60
  6. Step 6: Final answer
    x = 128,847.30

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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.