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Finding the Fourth Proportional to 905,192, 1,357,788 and 314,216

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Solution

The fourth proportional to 905,192, 1,357,788 and 314,216 is: 471,324

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,192 : 1,357,788 = 314,216 : x
  2. Step 2: Convert to fraction form
    905,192/1,357,788 = 314,216/x
  3. Step 3: Cross multiply
    905,192x = 1,357,788 × 314,216
  4. Step 4: Simplify right side
    905,192x = 426,638,714,208
  5. Step 5: Solve for x
    x = 426,638,714,208/905,192
  6. Step 6: Final answer
    x = 471,324

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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.