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Finding the Fourth Proportional to 427,357.87, 641,070.52 and 143,050.10

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Solution

The fourth proportional to 427,357.87, 641,070.52 and 143,050.10 is: 214,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,357.87 : 641,070.52 = 143,050.10 : x
  2. Step 2: Convert to fraction form
    427,357.87/641,070.52 = 143,050.10/x
  3. Step 3: Cross multiply
    427,357.87x = 641,070.52 × 143,050.10
  4. Step 4: Simplify right side
    427,357.87x = 91,705,198,430.07
  5. Step 5: Solve for x
    x = 91,705,198,430.07/427,357.87
  6. Step 6: Final answer
    x = 214,586.43

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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.