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Finding the Fourth Proportional to 519,752, 717,257.79 and 281,288

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Solution

The fourth proportional to 519,752, 717,257.79 and 281,288 is: 388,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,752 : 717,257.79 = 281,288 : x
  2. Step 2: Convert to fraction form
    519,752/717,257.79 = 281,288/x
  3. Step 3: Cross multiply
    519,752x = 717,257.79 × 281,288
  4. Step 4: Simplify right side
    519,752x = 201,756,009,233.52
  5. Step 5: Solve for x
    x = 201,756,009,233.52/519,752
  6. Step 6: Final answer
    x = 388,177.46

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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.