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Finding the Fourth Proportional to 309,541.79, 427,010.43 and 202,174.67

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Solution

The fourth proportional to 309,541.79, 427,010.43 and 202,174.67 is: 278,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,541.79 : 427,010.43 = 202,174.67 : x
  2. Step 2: Convert to fraction form
    309,541.79/427,010.43 = 202,174.67/x
  3. Step 3: Cross multiply
    309,541.79x = 427,010.43 × 202,174.67
  4. Step 4: Simplify right side
    309,541.79x = 86,330,690,636.76
  5. Step 5: Solve for x
    x = 86,330,690,636.76/309,541.79
  6. Step 6: Final answer
    x = 278,898.34

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1.5x scale

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.