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Finding the Fourth Proportional to 456,137.82, 684,141.50 and 156,612.78

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Solution

The fourth proportional to 456,137.82, 684,141.50 and 156,612.78 is: 234,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,137.82 : 684,141.50 = 156,612.78 : x
  2. Step 2: Convert to fraction form
    456,137.82/684,141.50 = 156,612.78/x
  3. Step 3: Cross multiply
    456,137.82x = 684,141.50 × 156,612.78
  4. Step 4: Simplify right side
    456,137.82x = 107,145,299,199.19
  5. Step 5: Solve for x
    x = 107,145,299,199.19/456,137.82
  6. Step 6: Final answer
    x = 234,896.77

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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.