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Finding the Fourth Proportional to 409,339.75, 611,131.47 and 312,771.57

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Solution

The fourth proportional to 409,339.75, 611,131.47 and 312,771.57 is: 466,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,339.75 : 611,131.47 = 312,771.57 : x
  2. Step 2: Convert to fraction form
    409,339.75/611,131.47 = 312,771.57/x
  3. Step 3: Cross multiply
    409,339.75x = 611,131.47 × 312,771.57
  4. Step 4: Simplify right side
    409,339.75x = 191,144,550,094.21
  5. Step 5: Solve for x
    x = 191,144,550,094.21/409,339.75
  6. Step 6: Final answer
    x = 466,958.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.