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Finding the Fourth Proportional to 553,855.44, 830,709.32 and 154,462.77

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Solution

The fourth proportional to 553,855.44, 830,709.32 and 154,462.77 is: 231,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,855.44 : 830,709.32 = 154,462.77 : x
  2. Step 2: Convert to fraction form
    553,855.44/830,709.32 = 154,462.77/x
  3. Step 3: Cross multiply
    553,855.44x = 830,709.32 × 154,462.77
  4. Step 4: Simplify right side
    553,855.44x = 128,313,661,859.70
  5. Step 5: Solve for x
    x = 128,313,661,859.70/553,855.44
  6. Step 6: Final answer
    x = 231,673.56

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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.