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Finding the Fourth Proportional to 651,074.16, 978,107.96 and 459,389.76

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Solution

The fourth proportional to 651,074.16, 978,107.96 and 459,389.76 is: 690,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,074.16 : 978,107.96 = 459,389.76 : x
  2. Step 2: Convert to fraction form
    651,074.16/978,107.96 = 459,389.76/x
  3. Step 3: Cross multiply
    651,074.16x = 978,107.96 × 459,389.76
  4. Step 4: Simplify right side
    651,074.16x = 449,332,780,998.49
  5. Step 5: Solve for x
    x = 449,332,780,998.49/651,074.16
  6. Step 6: Final answer
    x = 690,140.71

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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.