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Finding the Fourth Proportional to 1,107,415, 1,661,399.94 and 319,447

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Solution

The fourth proportional to 1,107,415, 1,661,399.94 and 319,447 is: 479,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,415 : 1,661,399.94 = 319,447 : x
  2. Step 2: Convert to fraction form
    1,107,415/1,661,399.94 = 319,447/x
  3. Step 3: Cross multiply
    1,107,415x = 1,661,399.94 × 319,447
  4. Step 4: Simplify right side
    1,107,415x = 530,729,226,633.18
  5. Step 5: Solve for x
    x = 530,729,226,633.18/1,107,415
  6. Step 6: Final answer
    x = 479,250.53

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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.