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Finding the Fourth Proportional to 640,646.40, 959,914.08 and 219,691.20

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Solution

The fourth proportional to 640,646.40, 959,914.08 and 219,691.20 is: 329,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,646.40 : 959,914.08 = 219,691.20 : x
  2. Step 2: Convert to fraction form
    640,646.40/959,914.08 = 219,691.20/x
  3. Step 3: Cross multiply
    640,646.40x = 959,914.08 × 219,691.20
  4. Step 4: Simplify right side
    640,646.40x = 210,884,676,132.10
  5. Step 5: Solve for x
    x = 210,884,676,132.10/640,646.40
  6. Step 6: Final answer
    x = 329,174.84

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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.