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Finding the Fourth Proportional to 456,879.36, 684,074.88 and 355,324.80

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Solution

The fourth proportional to 456,879.36, 684,074.88 and 355,324.80 is: 532,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,879.36 : 684,074.88 = 355,324.80 : x
  2. Step 2: Convert to fraction form
    456,879.36/684,074.88 = 355,324.80/x
  3. Step 3: Cross multiply
    456,879.36x = 684,074.88 × 355,324.80
  4. Step 4: Simplify right side
    456,879.36x = 243,068,769,921.02
  5. Step 5: Solve for x
    x = 243,068,769,921.02/456,879.36
  6. Step 6: Final answer
    x = 532,019.59

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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.