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Finding the Fourth Proportional to 330,993, 456,777.63 and 180,090

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Solution

The fourth proportional to 330,993, 456,777.63 and 180,090 is: 248,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,993 : 456,777.63 = 180,090 : x
  2. Step 2: Convert to fraction form
    330,993/456,777.63 = 180,090/x
  3. Step 3: Cross multiply
    330,993x = 456,777.63 × 180,090
  4. Step 4: Simplify right side
    330,993x = 82,261,083,386.70
  5. Step 5: Solve for x
    x = 82,261,083,386.70/330,993
  6. Step 6: Final answer
    x = 248,528.17

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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.