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Finding the Fourth Proportional to 311,313.74, 466,941.42 and 100,953.50

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Solution

The fourth proportional to 311,313.74, 466,941.42 and 100,953.50 is: 151,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,313.74 : 466,941.42 = 100,953.50 : x
  2. Step 2: Convert to fraction form
    311,313.74/466,941.42 = 100,953.50/x
  3. Step 3: Cross multiply
    311,313.74x = 466,941.42 × 100,953.50
  4. Step 4: Simplify right side
    311,313.74x = 47,139,368,309.26
  5. Step 5: Solve for x
    x = 47,139,368,309.26/311,313.74
  6. Step 6: Final answer
    x = 151,420.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.