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Finding the Fourth Proportional to 289,076.70, 433,615.05 and 200,430.30

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Solution

The fourth proportional to 289,076.70, 433,615.05 and 200,430.30 is: 300,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,076.70 : 433,615.05 = 200,430.30 : x
  2. Step 2: Convert to fraction form
    289,076.70/433,615.05 = 200,430.30/x
  3. Step 3: Cross multiply
    289,076.70x = 433,615.05 × 200,430.30
  4. Step 4: Simplify right side
    289,076.70x = 86,909,594,556.02
  5. Step 5: Solve for x
    x = 86,909,594,556.02/289,076.70
  6. Step 6: Final answer
    x = 300,645.45

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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.