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Finding the Fourth Proportional to 522,863.37, 784,213.02 and 143,812.53

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Solution

The fourth proportional to 522,863.37, 784,213.02 and 143,812.53 is: 215,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,863.37 : 784,213.02 = 143,812.53 : x
  2. Step 2: Convert to fraction form
    522,863.37/784,213.02 = 143,812.53/x
  3. Step 3: Cross multiply
    522,863.37x = 784,213.02 × 143,812.53
  4. Step 4: Simplify right side
    522,863.37x = 112,779,658,465.14
  5. Step 5: Solve for x
    x = 112,779,658,465.14/522,863.37
  6. Step 6: Final answer
    x = 215,696.23

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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.