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Finding the Fourth Proportional to 208,308.22, 287,250.34 and 178,193.22

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Solution

The fourth proportional to 208,308.22, 287,250.34 and 178,193.22 is: 245,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,308.22 : 287,250.34 = 178,193.22 : x
  2. Step 2: Convert to fraction form
    208,308.22/287,250.34 = 178,193.22/x
  3. Step 3: Cross multiply
    208,308.22x = 287,250.34 × 178,193.22
  4. Step 4: Simplify right side
    208,308.22x = 51,186,063,030.69
  5. Step 5: Solve for x
    x = 51,186,063,030.69/208,308.22
  6. Step 6: Final answer
    x = 245,722.72

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1.5x scale

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.