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Finding the Fourth Proportional to 287,038.26, 430,559.56 and 100,049.94

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Solution

The fourth proportional to 287,038.26, 430,559.56 and 100,049.94 is: 150,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,038.26 : 430,559.56 = 100,049.94 : x
  2. Step 2: Convert to fraction form
    287,038.26/430,559.56 = 100,049.94/x
  3. Step 3: Cross multiply
    287,038.26x = 430,559.56 × 100,049.94
  4. Step 4: Simplify right side
    287,038.26x = 43,077,458,144.43
  5. Step 5: Solve for x
    x = 43,077,458,144.43/287,038.26
  6. Step 6: Final answer
    x = 150,075.67

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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.