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Finding the Fourth Proportional to 492,729.55, 739,039.65 and 137,779.45

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Solution

The fourth proportional to 492,729.55, 739,039.65 and 137,779.45 is: 206,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,729.55 : 739,039.65 = 137,779.45 : x
  2. Step 2: Convert to fraction form
    492,729.55/739,039.65 = 137,779.45/x
  3. Step 3: Cross multiply
    492,729.55x = 739,039.65 × 137,779.45
  4. Step 4: Simplify right side
    492,729.55x = 101,824,476,505.19
  5. Step 5: Solve for x
    x = 101,824,476,505.19/492,729.55
  6. Step 6: Final answer
    x = 206,653.89

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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.