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Finding the Fourth Proportional to 345,859.76, 477,205.20 and 209,890.67

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Solution

The fourth proportional to 345,859.76, 477,205.20 and 209,890.67 is: 289,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,859.76 : 477,205.20 = 209,890.67 : x
  2. Step 2: Convert to fraction form
    345,859.76/477,205.20 = 209,890.67/x
  3. Step 3: Cross multiply
    345,859.76x = 477,205.20 × 209,890.67
  4. Step 4: Simplify right side
    345,859.76x = 100,160,916,769.46
  5. Step 5: Solve for x
    x = 100,160,916,769.46/345,859.76
  6. Step 6: Final answer
    x = 289,599.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.