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Finding the Fourth Proportional to 434,421.80, 651,632.70 and 209,096

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Solution

The fourth proportional to 434,421.80, 651,632.70 and 209,096 is: 313,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,421.80 : 651,632.70 = 209,096 : x
  2. Step 2: Convert to fraction form
    434,421.80/651,632.70 = 209,096/x
  3. Step 3: Cross multiply
    434,421.80x = 651,632.70 × 209,096
  4. Step 4: Simplify right side
    434,421.80x = 136,253,791,039.20
  5. Step 5: Solve for x
    x = 136,253,791,039.20/434,421.80
  6. Step 6: Final answer
    x = 313,644

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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.