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Finding the Fourth Proportional to 456,076.80, 684,190.08 and 140,533.76

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Solution

The fourth proportional to 456,076.80, 684,190.08 and 140,533.76 is: 210,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,076.80 : 684,190.08 = 140,533.76 : x
  2. Step 2: Convert to fraction form
    456,076.80/684,190.08 = 140,533.76/x
  3. Step 3: Cross multiply
    456,076.80x = 684,190.08 × 140,533.76
  4. Step 4: Simplify right side
    456,076.80x = 96,151,804,497.10
  5. Step 5: Solve for x
    x = 96,151,804,497.10/456,076.80
  6. Step 6: Final answer
    x = 210,823.71

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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.