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Finding the Fourth Proportional to 281,775.62, 421,962.21 and 197,139.78

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Solution

The fourth proportional to 281,775.62, 421,962.21 and 197,139.78 is: 295,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,775.62 : 421,962.21 = 197,139.78 : x
  2. Step 2: Convert to fraction form
    281,775.62/421,962.21 = 197,139.78/x
  3. Step 3: Cross multiply
    281,775.62x = 421,962.21 × 197,139.78
  4. Step 4: Simplify right side
    281,775.62x = 83,185,537,247.71
  5. Step 5: Solve for x
    x = 83,185,537,247.71/281,775.62
  6. Step 6: Final answer
    x = 295,219.08

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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.