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Finding the Fourth Proportional to 314,370.96, 434,273.04 and 280,368.56

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Solution

The fourth proportional to 314,370.96, 434,273.04 and 280,368.56 is: 387,302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,370.96 : 434,273.04 = 280,368.56 : x
  2. Step 2: Convert to fraction form
    314,370.96/434,273.04 = 280,368.56/x
  3. Step 3: Cross multiply
    314,370.96x = 434,273.04 × 280,368.56
  4. Step 4: Simplify right side
    314,370.96x = 121,756,504,700.26
  5. Step 5: Solve for x
    x = 121,756,504,700.26/314,370.96
  6. Step 6: Final answer
    x = 387,302.01

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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.