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Finding the Fourth Proportional to 485,071.93, 727,607.94 and 185,644.36

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Solution

The fourth proportional to 485,071.93, 727,607.94 and 185,644.36 is: 278,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,071.93 : 727,607.94 = 185,644.36 : x
  2. Step 2: Convert to fraction form
    485,071.93/727,607.94 = 185,644.36/x
  3. Step 3: Cross multiply
    485,071.93x = 727,607.94 × 185,644.36
  4. Step 4: Simplify right side
    485,071.93x = 135,076,310,352.22
  5. Step 5: Solve for x
    x = 135,076,310,352.22/485,071.93
  6. Step 6: Final answer
    x = 278,466.56

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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.