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Finding the Fourth Proportional to 456,359.12, 684,363.36 and 156,783.68

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Solution

The fourth proportional to 456,359.12, 684,363.36 and 156,783.68 is: 235,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,359.12 : 684,363.36 = 156,783.68 : x
  2. Step 2: Convert to fraction form
    456,359.12/684,363.36 = 156,783.68/x
  3. Step 3: Cross multiply
    456,359.12x = 684,363.36 × 156,783.68
  4. Step 4: Simplify right side
    456,359.12x = 107,297,006,037.97
  5. Step 5: Solve for x
    x = 107,297,006,037.97/456,359.12
  6. Step 6: Final answer
    x = 235,115.29

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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.