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Finding the Fourth Proportional to 345,871.81, 477,303.89 and 194,968.81

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Solution

The fourth proportional to 345,871.81, 477,303.89 and 194,968.81 is: 269,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,871.81 : 477,303.89 = 194,968.81 : x
  2. Step 2: Convert to fraction form
    345,871.81/477,303.89 = 194,968.81/x
  3. Step 3: Cross multiply
    345,871.81x = 477,303.89 × 194,968.81
  4. Step 4: Simplify right side
    345,871.81x = 93,059,370,466.83
  5. Step 5: Solve for x
    x = 93,059,370,466.83/345,871.81
  6. Step 6: Final answer
    x = 269,057.40

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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.