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Finding the Fourth Proportional to 456,040.62, 684,135.25 and 140,497.52

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Solution

The fourth proportional to 456,040.62, 684,135.25 and 140,497.52 is: 210,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,040.62 : 684,135.25 = 140,497.52 : x
  2. Step 2: Convert to fraction form
    456,040.62/684,135.25 = 140,497.52/x
  3. Step 3: Cross multiply
    456,040.62x = 684,135.25 × 140,497.52
  4. Step 4: Simplify right side
    456,040.62x = 96,119,302,197.66
  5. Step 5: Solve for x
    x = 96,119,302,197.66/456,040.62
  6. Step 6: Final answer
    x = 210,769.17

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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.