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Finding the Fourth Proportional to 294,341.36, 406,199.76 and 208,454

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Solution

The fourth proportional to 294,341.36, 406,199.76 and 208,454 is: 287,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,341.36 : 406,199.76 = 208,454 : x
  2. Step 2: Convert to fraction form
    294,341.36/406,199.76 = 208,454/x
  3. Step 3: Cross multiply
    294,341.36x = 406,199.76 × 208,454
  4. Step 4: Simplify right side
    294,341.36x = 84,673,964,771.04
  5. Step 5: Solve for x
    x = 84,673,964,771.04/294,341.36
  6. Step 6: Final answer
    x = 287,672.67

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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.