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Finding the Fourth Proportional to 456,460.80, 684,120.96 and 315,093.12

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Solution

The fourth proportional to 456,460.80, 684,120.96 and 315,093.12 is: 472,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,460.80 : 684,120.96 = 315,093.12 : x
  2. Step 2: Convert to fraction form
    456,460.80/684,120.96 = 315,093.12/x
  3. Step 3: Cross multiply
    456,460.80x = 684,120.96 × 315,093.12
  4. Step 4: Simplify right side
    456,460.80x = 215,561,807,743.80
  5. Step 5: Solve for x
    x = 215,561,807,743.80/456,460.80
  6. Step 6: Final answer
    x = 472,246.05

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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.