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Finding the Fourth Proportional to 355,362.34, 490,398.86 and 194,217.35

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Solution

The fourth proportional to 355,362.34, 490,398.86 and 194,217.35 is: 268,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,362.34 : 490,398.86 = 194,217.35 : x
  2. Step 2: Convert to fraction form
    355,362.34/490,398.86 = 194,217.35/x
  3. Step 3: Cross multiply
    355,362.34x = 490,398.86 × 194,217.35
  4. Step 4: Simplify right side
    355,362.34x = 95,243,963,973.30
  5. Step 5: Solve for x
    x = 95,243,963,973.30/355,362.34
  6. Step 6: Final answer
    x = 268,019.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.