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Finding the Fourth Proportional to 456,309, 684,463.50 and 123,885

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Solution

The fourth proportional to 456,309, 684,463.50 and 123,885 is: 185,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,309 : 684,463.50 = 123,885 : x
  2. Step 2: Convert to fraction form
    456,309/684,463.50 = 123,885/x
  3. Step 3: Cross multiply
    456,309x = 684,463.50 × 123,885
  4. Step 4: Simplify right side
    456,309x = 84,794,760,697.50
  5. Step 5: Solve for x
    x = 84,794,760,697.50/456,309
  6. Step 6: Final answer
    x = 185,827.50

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Similar ratio
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1.5x scale

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.