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Finding the Fourth Proportional to 640,109.86, 959,953.70 and 213,528.12

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Solution

The fourth proportional to 640,109.86, 959,953.70 and 213,528.12 is: 320,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,109.86 : 959,953.70 = 213,528.12 : x
  2. Step 2: Convert to fraction form
    640,109.86/959,953.70 = 213,528.12/x
  3. Step 3: Cross multiply
    640,109.86x = 959,953.70 × 213,528.12
  4. Step 4: Simplify right side
    640,109.86x = 204,977,108,848.04
  5. Step 5: Solve for x
    x = 204,977,108,848.04/640,109.86
  6. Step 6: Final answer
    x = 320,221.76

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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.