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Finding the Fourth Proportional to 408,784, 613,210.56 and 113,296

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Solution

The fourth proportional to 408,784, 613,210.56 and 113,296 is: 169,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,784 : 613,210.56 = 113,296 : x
  2. Step 2: Convert to fraction form
    408,784/613,210.56 = 113,296/x
  3. Step 3: Cross multiply
    408,784x = 613,210.56 × 113,296
  4. Step 4: Simplify right side
    408,784x = 69,474,303,605.76
  5. Step 5: Solve for x
    x = 69,474,303,605.76/408,784
  6. Step 6: Final answer
    x = 169,953.58

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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.