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Finding the Fourth Proportional to 539,611.52, 809,419.73 and 140,224.01

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Solution

The fourth proportional to 539,611.52, 809,419.73 and 140,224.01 is: 210,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,611.52 : 809,419.73 = 140,224.01 : x
  2. Step 2: Convert to fraction form
    539,611.52/809,419.73 = 140,224.01/x
  3. Step 3: Cross multiply
    539,611.52x = 809,419.73 × 140,224.01
  4. Step 4: Simplify right side
    539,611.52x = 113,500,075,565.50
  5. Step 5: Solve for x
    x = 113,500,075,565.50/539,611.52
  6. Step 6: Final answer
    x = 210,336.64

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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.