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Finding the Fourth Proportional to 519,856.50, 717,404.13 and 281,392.50

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Solution

The fourth proportional to 519,856.50, 717,404.13 and 281,392.50 is: 388,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,856.50 : 717,404.13 = 281,392.50 : x
  2. Step 2: Convert to fraction form
    519,856.50/717,404.13 = 281,392.50/x
  3. Step 3: Cross multiply
    519,856.50x = 717,404.13 × 281,392.50
  4. Step 4: Simplify right side
    519,856.50x = 201,872,141,651.03
  5. Step 5: Solve for x
    x = 201,872,141,651.03/519,856.50
  6. Step 6: Final answer
    x = 388,322.82

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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.