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Finding the Fourth Proportional to 523,009.49, 784,410.95 and 143,832.38

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Solution

The fourth proportional to 523,009.49, 784,410.95 and 143,832.38 is: 215,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,009.49 : 784,410.95 = 143,832.38 : x
  2. Step 2: Convert to fraction form
    523,009.49/784,410.95 = 143,832.38/x
  3. Step 3: Cross multiply
    523,009.49x = 784,410.95 × 143,832.38
  4. Step 4: Simplify right side
    523,009.49x = 112,823,690,274.09
  5. Step 5: Solve for x
    x = 112,823,690,274.09/523,009.49
  6. Step 6: Final answer
    x = 215,720.16

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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.