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Finding the Fourth Proportional to 523,066, 784,715.64 and 190,642

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Solution

The fourth proportional to 523,066, 784,715.64 and 190,642 is: 286,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,066 : 784,715.64 = 190,642 : x
  2. Step 2: Convert to fraction form
    523,066/784,715.64 = 190,642/x
  3. Step 3: Cross multiply
    523,066x = 784,715.64 × 190,642
  4. Step 4: Simplify right side
    523,066x = 149,599,759,040.88
  5. Step 5: Solve for x
    x = 149,599,759,040.88/523,066
  6. Step 6: Final answer
    x = 286,005.51

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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.