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Finding the Fourth Proportional to 523,078.02, 784,513.62 and 143,900.91

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Solution

The fourth proportional to 523,078.02, 784,513.62 and 143,900.91 is: 215,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,078.02 : 784,513.62 = 143,900.91 : x
  2. Step 2: Convert to fraction form
    523,078.02/784,513.62 = 143,900.91/x
  3. Step 3: Cross multiply
    523,078.02x = 784,513.62 × 143,900.91
  4. Step 4: Simplify right side
    523,078.02x = 112,892,223,825.39
  5. Step 5: Solve for x
    x = 112,892,223,825.39/523,078.02
  6. Step 6: Final answer
    x = 215,822.92

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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.