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Finding the Fourth Proportional to 456,412.73, 684,891.65 and 243,338.78

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Solution

The fourth proportional to 456,412.73, 684,891.65 and 243,338.78 is: 365,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,412.73 : 684,891.65 = 243,338.78 : x
  2. Step 2: Convert to fraction form
    456,412.73/684,891.65 = 243,338.78/x
  3. Step 3: Cross multiply
    456,412.73x = 684,891.65 × 243,338.78
  4. Step 4: Simplify right side
    456,412.73x = 166,660,700,863.76
  5. Step 5: Solve for x
    x = 166,660,700,863.76/456,412.73
  6. Step 6: Final answer
    x = 365,153.49

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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.