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Finding the Fourth Proportional to 208,311.69, 287,390.85 and 153,994.27

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Solution

The fourth proportional to 208,311.69, 287,390.85 and 153,994.27 is: 212,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.69 : 287,390.85 = 153,994.27 : x
  2. Step 2: Convert to fraction form
    208,311.69/287,390.85 = 153,994.27/x
  3. Step 3: Cross multiply
    208,311.69x = 287,390.85 × 153,994.27
  4. Step 4: Simplify right side
    208,311.69x = 44,256,544,150.43
  5. Step 5: Solve for x
    x = 44,256,544,150.43/208,311.69
  6. Step 6: Final answer
    x = 212,453.48

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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.