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Finding the Fourth Proportional to 456,078.80, 684,193.08 and 140,535.76

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Solution

The fourth proportional to 456,078.80, 684,193.08 and 140,535.76 is: 210,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,078.80 : 684,193.08 = 140,535.76 : x
  2. Step 2: Convert to fraction form
    456,078.80/684,193.08 = 140,535.76/x
  3. Step 3: Cross multiply
    456,078.80x = 684,193.08 × 140,535.76
  4. Step 4: Simplify right side
    456,078.80x = 96,153,594,484.54
  5. Step 5: Solve for x
    x = 96,153,594,484.54/456,078.80
  6. Step 6: Final answer
    x = 210,826.71

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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.