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Finding the Fourth Proportional to 527,093.64, 789,812.56 and 407,443.78

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Solution

The fourth proportional to 527,093.64, 789,812.56 and 407,443.78 is: 610,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,093.64 : 789,812.56 = 407,443.78 : x
  2. Step 2: Convert to fraction form
    527,093.64/789,812.56 = 407,443.78/x
  3. Step 3: Cross multiply
    527,093.64x = 789,812.56 × 407,443.78
  4. Step 4: Simplify right side
    527,093.64x = 321,804,214,937.88
  5. Step 5: Solve for x
    x = 321,804,214,937.88/527,093.64
  6. Step 6: Final answer
    x = 610,525.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.