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Finding the Fourth Proportional to 485,066.06, 727,599.09 and 185,638.42

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Solution

The fourth proportional to 485,066.06, 727,599.09 and 185,638.42 is: 278,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,066.06 : 727,599.09 = 185,638.42 : x
  2. Step 2: Convert to fraction form
    485,066.06/727,599.09 = 185,638.42/x
  3. Step 3: Cross multiply
    485,066.06x = 727,599.09 × 185,638.42
  4. Step 4: Simplify right side
    485,066.06x = 135,070,345,461.04
  5. Step 5: Solve for x
    x = 135,070,345,461.04/485,066.06
  6. Step 6: Final answer
    x = 278,457.63

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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.