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Finding the Fourth Proportional to 406,841.48, 610,268.06 and 126,341

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Solution

The fourth proportional to 406,841.48, 610,268.06 and 126,341 is: 189,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,841.48 : 610,268.06 = 126,341 : x
  2. Step 2: Convert to fraction form
    406,841.48/610,268.06 = 126,341/x
  3. Step 3: Cross multiply
    406,841.48x = 610,268.06 × 126,341
  4. Step 4: Simplify right side
    406,841.48x = 77,101,876,968.46
  5. Step 5: Solve for x
    x = 77,101,876,968.46/406,841.48
  6. Step 6: Final answer
    x = 189,513.31

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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.