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Finding the Fourth Proportional to 196,293.40, 294,137.70 and 146,138.20

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Solution

The fourth proportional to 196,293.40, 294,137.70 and 146,138.20 is: 218,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,293.40 : 294,137.70 = 146,138.20 : x
  2. Step 2: Convert to fraction form
    196,293.40/294,137.70 = 146,138.20/x
  3. Step 3: Cross multiply
    196,293.40x = 294,137.70 × 146,138.20
  4. Step 4: Simplify right side
    196,293.40x = 42,984,754,030.14
  5. Step 5: Solve for x
    x = 42,984,754,030.14/196,293.40
  6. Step 6: Final answer
    x = 218,982.17

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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.