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Finding the Fourth Proportional to 519,726.96, 717,223.32 and 281,262.96

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Solution

The fourth proportional to 519,726.96, 717,223.32 and 281,262.96 is: 388,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,726.96 : 717,223.32 = 281,262.96 : x
  2. Step 2: Convert to fraction form
    519,726.96/717,223.32 = 281,262.96/x
  3. Step 3: Cross multiply
    519,726.96x = 717,223.32 × 281,262.96
  4. Step 4: Simplify right side
    519,726.96x = 201,728,353,964.23
  5. Step 5: Solve for x
    x = 201,728,353,964.23/519,726.96
  6. Step 6: Final answer
    x = 388,142.95

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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.