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Finding the Fourth Proportional to 500,509.22, 750,798.86 and 200,989.80

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Solution

The fourth proportional to 500,509.22, 750,798.86 and 200,989.80 is: 301,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,509.22 : 750,798.86 = 200,989.80 : x
  2. Step 2: Convert to fraction form
    500,509.22/750,798.86 = 200,989.80/x
  3. Step 3: Cross multiply
    500,509.22x = 750,798.86 × 200,989.80
  4. Step 4: Simplify right side
    500,509.22x = 150,902,912,711.63
  5. Step 5: Solve for x
    x = 150,902,912,711.63/500,509.22
  6. Step 6: Final answer
    x = 301,498.77

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1.5x scale

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.