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Finding the Fourth Proportional to 609,908.60, 841,971.30 and 406,080.20

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Solution

The fourth proportional to 609,908.60, 841,971.30 and 406,080.20 is: 560,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,908.60 : 841,971.30 = 406,080.20 : x
  2. Step 2: Convert to fraction form
    609,908.60/841,971.30 = 406,080.20/x
  3. Step 3: Cross multiply
    609,908.60x = 841,971.30 × 406,080.20
  4. Step 4: Simplify right side
    609,908.60x = 341,907,873,898.26
  5. Step 5: Solve for x
    x = 341,907,873,898.26/609,908.60
  6. Step 6: Final answer
    x = 560,588.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.