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Finding the Fourth Proportional to 651,143.64, 978,212.58 and 459,459.36

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Solution

The fourth proportional to 651,143.64, 978,212.58 and 459,459.36 is: 690,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,143.64 : 978,212.58 = 459,459.36 : x
  2. Step 2: Convert to fraction form
    651,143.64/978,212.58 = 459,459.36/x
  3. Step 3: Cross multiply
    651,143.64x = 978,212.58 × 459,459.36
  4. Step 4: Simplify right side
    651,143.64x = 449,448,925,950.75
  5. Step 5: Solve for x
    x = 449,448,925,950.75/651,143.64
  6. Step 6: Final answer
    x = 690,245.44

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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.