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Finding the Fourth Proportional to 354,953.12, 490,353.48 and 307,123.43

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Solution

The fourth proportional to 354,953.12, 490,353.48 and 307,123.43 is: 424,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,953.12 : 490,353.48 = 307,123.43 : x
  2. Step 2: Convert to fraction form
    354,953.12/490,353.48 = 307,123.43/x
  3. Step 3: Cross multiply
    354,953.12x = 490,353.48 × 307,123.43
  4. Step 4: Simplify right side
    354,953.12x = 150,599,040,238.27
  5. Step 5: Solve for x
    x = 150,599,040,238.27/354,953.12
  6. Step 6: Final answer
    x = 424,278.68

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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.