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Finding the Fourth Proportional to 281,142.30, 421,746.24 and 281,142.30

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Solution

The fourth proportional to 281,142.30, 421,746.24 and 281,142.30 is: 421,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,142.30 : 421,746.24 = 281,142.30 : x
  2. Step 2: Convert to fraction form
    281,142.30/421,746.24 = 281,142.30/x
  3. Step 3: Cross multiply
    281,142.30x = 421,746.24 × 281,142.30
  4. Step 4: Simplify right side
    281,142.30x = 118,570,707,929.95
  5. Step 5: Solve for x
    x = 118,570,707,929.95/281,142.30
  6. Step 6: Final answer
    x = 421,746.24

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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.