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Finding the Fourth Proportional to 1,325,415, 1,988,122.54 and 328,143

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Solution

The fourth proportional to 1,325,415, 1,988,122.54 and 328,143 is: 492,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,415 : 1,988,122.54 = 328,143 : x
  2. Step 2: Convert to fraction form
    1,325,415/1,988,122.54 = 328,143/x
  3. Step 3: Cross multiply
    1,325,415x = 1,988,122.54 × 328,143
  4. Step 4: Simplify right side
    1,325,415x = 652,388,494,643.22
  5. Step 5: Solve for x
    x = 652,388,494,643.22/1,325,415
  6. Step 6: Final answer
    x = 492,214.51

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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.