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Finding the Fourth Proportional to 361,877.85, 499,316.67 and 208,913.40

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Solution

The fourth proportional to 361,877.85, 499,316.67 and 208,913.40 is: 288,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,877.85 : 499,316.67 = 208,913.40 : x
  2. Step 2: Convert to fraction form
    361,877.85/499,316.67 = 208,913.40/x
  3. Step 3: Cross multiply
    361,877.85x = 499,316.67 × 208,913.40
  4. Step 4: Simplify right side
    361,877.85x = 104,313,943,206.38
  5. Step 5: Solve for x
    x = 104,313,943,206.38/361,877.85
  6. Step 6: Final answer
    x = 288,257.33

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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.