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Finding the Fourth Proportional to 298,602.75, 447,549.20 and 208,156.64

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Solution

The fourth proportional to 298,602.75, 447,549.20 and 208,156.64 is: 311,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,602.75 : 447,549.20 = 208,156.64 : x
  2. Step 2: Convert to fraction form
    298,602.75/447,549.20 = 208,156.64/x
  3. Step 3: Cross multiply
    298,602.75x = 447,549.20 × 208,156.64
  4. Step 4: Simplify right side
    298,602.75x = 93,160,335,208.75
  5. Step 5: Solve for x
    x = 93,160,335,208.75/298,602.75
  6. Step 6: Final answer
    x = 311,987.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.