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Finding the Fourth Proportional to 219,025.25, 328,412.12 and 85,749.47

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Solution

The fourth proportional to 219,025.25, 328,412.12 and 85,749.47 is: 128,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,025.25 : 328,412.12 = 85,749.47 : x
  2. Step 2: Convert to fraction form
    219,025.25/328,412.12 = 85,749.47/x
  3. Step 3: Cross multiply
    219,025.25x = 328,412.12 × 85,749.47
  4. Step 4: Simplify right side
    219,025.25x = 28,161,163,160.77
  5. Step 5: Solve for x
    x = 28,161,163,160.77/219,025.25
  6. Step 6: Final answer
    x = 128,574.96

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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.