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Finding the Fourth Proportional to 208,914, 288,538.70 and 140,813.61

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Solution

The fourth proportional to 208,914, 288,538.70 and 140,813.61 is: 194,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,914 : 288,538.70 = 140,813.61 : x
  2. Step 2: Convert to fraction form
    208,914/288,538.70 = 140,813.61/x
  3. Step 3: Cross multiply
    208,914x = 288,538.70 × 140,813.61
  4. Step 4: Simplify right side
    208,914x = 40,630,175,267.64
  5. Step 5: Solve for x
    x = 40,630,175,267.64/208,914
  6. Step 6: Final answer
    x = 194,482.78

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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.