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Finding the Fourth Proportional to 456,252.92, 684,971 and 305,415.02

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Solution

The fourth proportional to 456,252.92, 684,971 and 305,415.02 is: 458,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,252.92 : 684,971 = 305,415.02 : x
  2. Step 2: Convert to fraction form
    456,252.92/684,971 = 305,415.02/x
  3. Step 3: Cross multiply
    456,252.92x = 684,971 × 305,415.02
  4. Step 4: Simplify right side
    456,252.92x = 209,200,431,664.42
  5. Step 5: Solve for x
    x = 209,200,431,664.42/456,252.92
  6. Step 6: Final answer
    x = 458,518.56

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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.