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Finding the Fourth Proportional to 456,568.64, 684,403.68 and 266,788.16

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Solution

The fourth proportional to 456,568.64, 684,403.68 and 266,788.16 is: 399,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,568.64 : 684,403.68 = 266,788.16 : x
  2. Step 2: Convert to fraction form
    456,568.64/684,403.68 = 266,788.16/x
  3. Step 3: Cross multiply
    456,568.64x = 684,403.68 × 266,788.16
  4. Step 4: Simplify right side
    456,568.64x = 182,590,798,484.43
  5. Step 5: Solve for x
    x = 182,590,798,484.43/456,568.64
  6. Step 6: Final answer
    x = 399,919.71

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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.