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Finding the Fourth Proportional to 640,506.89, 960,727.43 and 191,231.48

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Solution

The fourth proportional to 640,506.89, 960,727.43 and 191,231.48 is: 286,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,506.89 : 960,727.43 = 191,231.48 : x
  2. Step 2: Convert to fraction form
    640,506.89/960,727.43 = 191,231.48/x
  3. Step 3: Cross multiply
    640,506.89x = 960,727.43 × 191,231.48
  4. Step 4: Simplify right side
    640,506.89x = 183,721,331,195.39
  5. Step 5: Solve for x
    x = 183,721,331,195.39/640,506.89
  6. Step 6: Final answer
    x = 286,837.40

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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.