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Finding the Fourth Proportional to 971,040, 1,456,560 and 306,192

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Solution

The fourth proportional to 971,040, 1,456,560 and 306,192 is: 459,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,040 : 1,456,560 = 306,192 : x
  2. Step 2: Convert to fraction form
    971,040/1,456,560 = 306,192/x
  3. Step 3: Cross multiply
    971,040x = 1,456,560 × 306,192
  4. Step 4: Simplify right side
    971,040x = 445,987,019,520
  5. Step 5: Solve for x
    x = 445,987,019,520/971,040
  6. Step 6: Final answer
    x = 459,288

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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.