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Finding the Fourth Proportional to 406,840.48, 610,266.56 and 126,340

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Solution

The fourth proportional to 406,840.48, 610,266.56 and 126,340 is: 189,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,840.48 : 610,266.56 = 126,340 : x
  2. Step 2: Convert to fraction form
    406,840.48/610,266.56 = 126,340/x
  3. Step 3: Cross multiply
    406,840.48x = 610,266.56 × 126,340
  4. Step 4: Simplify right side
    406,840.48x = 77,101,077,190.40
  5. Step 5: Solve for x
    x = 77,101,077,190.40/406,840.48
  6. Step 6: Final answer
    x = 189,511.81

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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.