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Finding the Fourth Proportional to 493,322.80, 739,900.74 and 138,255.10

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Solution

The fourth proportional to 493,322.80, 739,900.74 and 138,255.10 is: 207,359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,322.80 : 739,900.74 = 138,255.10 : x
  2. Step 2: Convert to fraction form
    493,322.80/739,900.74 = 138,255.10/x
  3. Step 3: Cross multiply
    493,322.80x = 739,900.74 × 138,255.10
  4. Step 4: Simplify right side
    493,322.80x = 102,295,050,798.77
  5. Step 5: Solve for x
    x = 102,295,050,798.77/493,322.80
  6. Step 6: Final answer
    x = 207,359.26

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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.