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Finding the Fourth Proportional to 342,218.75, 513,065.68 and 209,161.67

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Solution

The fourth proportional to 342,218.75, 513,065.68 and 209,161.67 is: 313,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,218.75 : 513,065.68 = 209,161.67 : x
  2. Step 2: Convert to fraction form
    342,218.75/513,065.68 = 209,161.67/x
  3. Step 3: Cross multiply
    342,218.75x = 513,065.68 × 209,161.67
  4. Step 4: Simplify right side
    342,218.75x = 107,313,671,360.25
  5. Step 5: Solve for x
    x = 107,313,671,360.25/342,218.75
  6. Step 6: Final answer
    x = 313,582.10

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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.