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Finding the Fourth Proportional to 406,534.93, 610,360.99 and 206,989.40

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Solution

The fourth proportional to 406,534.93, 610,360.99 and 206,989.40 is: 310,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,534.93 : 610,360.99 = 206,989.40 : x
  2. Step 2: Convert to fraction form
    406,534.93/610,360.99 = 206,989.40/x
  3. Step 3: Cross multiply
    406,534.93x = 610,360.99 × 206,989.40
  4. Step 4: Simplify right side
    406,534.93x = 126,338,255,103.51
  5. Step 5: Solve for x
    x = 126,338,255,103.51/406,534.93
  6. Step 6: Final answer
    x = 310,768.51

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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.