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Finding the Fourth Proportional to 281,148.60, 421,256.34 and 197,867.64

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Solution

The fourth proportional to 281,148.60, 421,256.34 and 197,867.64 is: 296,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,148.60 : 421,256.34 = 197,867.64 : x
  2. Step 2: Convert to fraction form
    281,148.60/421,256.34 = 197,867.64/x
  3. Step 3: Cross multiply
    281,148.60x = 421,256.34 × 197,867.64
  4. Step 4: Simplify right side
    281,148.60x = 83,352,997,830.84
  5. Step 5: Solve for x
    x = 83,352,997,830.84/281,148.60
  6. Step 6: Final answer
    x = 296,473.10

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1.5x scale

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.