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Finding the Fourth Proportional to 570,252, 786,947.76 and 331,788

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Solution

The fourth proportional to 570,252, 786,947.76 and 331,788 is: 457,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,252 : 786,947.76 = 331,788 : x
  2. Step 2: Convert to fraction form
    570,252/786,947.76 = 331,788/x
  3. Step 3: Cross multiply
    570,252x = 786,947.76 × 331,788
  4. Step 4: Simplify right side
    570,252x = 261,099,823,394.88
  5. Step 5: Solve for x
    x = 261,099,823,394.88/570,252
  6. Step 6: Final answer
    x = 457,867.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.