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Finding the Fourth Proportional to 456,358.12, 684,361.86 and 156,782.68

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Solution

The fourth proportional to 456,358.12, 684,361.86 and 156,782.68 is: 235,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,358.12 : 684,361.86 = 156,782.68 : x
  2. Step 2: Convert to fraction form
    456,358.12/684,361.86 = 156,782.68/x
  3. Step 3: Cross multiply
    456,358.12x = 684,361.86 × 156,782.68
  4. Step 4: Simplify right side
    456,358.12x = 107,296,086,500.59
  5. Step 5: Solve for x
    x = 107,296,086,500.59/456,358.12
  6. Step 6: Final answer
    x = 235,113.79

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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.