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Finding the Fourth Proportional to 971,028, 1,456,542 and 306,180

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Solution

The fourth proportional to 971,028, 1,456,542 and 306,180 is: 459,270

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,028 : 1,456,542 = 306,180 : x
  2. Step 2: Convert to fraction form
    971,028/1,456,542 = 306,180/x
  3. Step 3: Cross multiply
    971,028x = 1,456,542 × 306,180
  4. Step 4: Simplify right side
    971,028x = 445,964,029,560
  5. Step 5: Solve for x
    x = 445,964,029,560/971,028
  6. Step 6: Final answer
    x = 459,270

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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.