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Finding the Fourth Proportional to 651,145.14, 978,214.83 and 459,460.86

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Solution

The fourth proportional to 651,145.14, 978,214.83 and 459,460.86 is: 690,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,145.14 : 978,214.83 = 459,460.86 : x
  2. Step 2: Convert to fraction form
    651,145.14/978,214.83 = 459,460.86/x
  3. Step 3: Cross multiply
    651,145.14x = 978,214.83 × 459,460.86
  4. Step 4: Simplify right side
    651,145.14x = 449,451,427,056.55
  5. Step 5: Solve for x
    x = 449,451,427,056.55/651,145.14
  6. Step 6: Final answer
    x = 690,247.69

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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.