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Finding the Fourth Proportional to 485,810.93, 728,695.74 and 165,991.48

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Solution

The fourth proportional to 485,810.93, 728,695.74 and 165,991.48 is: 248,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,810.93 : 728,695.74 = 165,991.48 : x
  2. Step 2: Convert to fraction form
    485,810.93/728,695.74 = 165,991.48/x
  3. Step 3: Cross multiply
    485,810.93x = 728,695.74 × 165,991.48
  4. Step 4: Simplify right side
    485,810.93x = 120,957,283,153.02
  5. Step 5: Solve for x
    x = 120,957,283,153.02/485,810.93
  6. Step 6: Final answer
    x = 248,980.16

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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.