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Finding the Fourth Proportional to 519,814, 717,345.48 and 281,350

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Solution

The fourth proportional to 519,814, 717,345.48 and 281,350 is: 388,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,814 : 717,345.48 = 281,350 : x
  2. Step 2: Convert to fraction form
    519,814/717,345.48 = 281,350/x
  3. Step 3: Cross multiply
    519,814x = 717,345.48 × 281,350
  4. Step 4: Simplify right side
    519,814x = 201,825,150,798
  5. Step 5: Solve for x
    x = 201,825,150,798/519,814
  6. Step 6: Final answer
    x = 388,264.17

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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.