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Finding the Fourth Proportional to 519,967.94, 717,560.50 and 305,111.58

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Solution

The fourth proportional to 519,967.94, 717,560.50 and 305,111.58 is: 421,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,967.94 : 717,560.50 = 305,111.58 : x
  2. Step 2: Convert to fraction form
    519,967.94/717,560.50 = 305,111.58/x
  3. Step 3: Cross multiply
    519,967.94x = 717,560.50 × 305,111.58
  4. Step 4: Simplify right side
    519,967.94x = 218,936,017,900.59
  5. Step 5: Solve for x
    x = 218,936,017,900.59/519,967.94
  6. Step 6: Final answer
    x = 421,056.76

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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.