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Finding the Fourth Proportional to 523,007.54, 784,078.94 and 198,728.51

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Solution

The fourth proportional to 523,007.54, 784,078.94 and 198,728.51 is: 297,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,007.54 : 784,078.94 = 198,728.51 : x
  2. Step 2: Convert to fraction form
    523,007.54/784,078.94 = 198,728.51/x
  3. Step 3: Cross multiply
    523,007.54x = 784,078.94 × 198,728.51
  4. Step 4: Simplify right side
    523,007.54x = 155,818,834,554.54
  5. Step 5: Solve for x
    x = 155,818,834,554.54/523,007.54
  6. Step 6: Final answer
    x = 297,928.47

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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.