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Finding the Fourth Proportional to 406,130.58, 609,754.91 and 206,586

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Solution

The fourth proportional to 406,130.58, 609,754.91 and 206,586 is: 310,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,130.58 : 609,754.91 = 206,586 : x
  2. Step 2: Convert to fraction form
    406,130.58/609,754.91 = 206,586/x
  3. Step 3: Cross multiply
    406,130.58x = 609,754.91 × 206,586
  4. Step 4: Simplify right side
    406,130.58x = 125,966,827,837.26
  5. Step 5: Solve for x
    x = 125,966,827,837.26/406,130.58
  6. Step 6: Final answer
    x = 310,163.37

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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.