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Finding the Fourth Proportional to 456,106.20, 684,305.10 and 156,778.80

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Solution

The fourth proportional to 456,106.20, 684,305.10 and 156,778.80 is: 235,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,106.20 : 684,305.10 = 156,778.80 : x
  2. Step 2: Convert to fraction form
    456,106.20/684,305.10 = 156,778.80/x
  3. Step 3: Cross multiply
    456,106.20x = 684,305.10 × 156,778.80
  4. Step 4: Simplify right side
    456,106.20x = 107,284,532,411.88
  5. Step 5: Solve for x
    x = 107,284,532,411.88/456,106.20
  6. Step 6: Final answer
    x = 235,218.32

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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.