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Finding the Fourth Proportional to 330,513.66, 456,071.76 and 187,243.02

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Solution

The fourth proportional to 330,513.66, 456,071.76 and 187,243.02 is: 258,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,513.66 : 456,071.76 = 187,243.02 : x
  2. Step 2: Convert to fraction form
    330,513.66/456,071.76 = 187,243.02/x
  3. Step 3: Cross multiply
    330,513.66x = 456,071.76 × 187,243.02
  4. Step 4: Simplify right side
    330,513.66x = 85,396,253,679.12
  5. Step 5: Solve for x
    x = 85,396,253,679.12/330,513.66
  6. Step 6: Final answer
    x = 258,374.35

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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.