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Finding the Fourth Proportional to 508,515.75, 701,751.74 and 282,197.67

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Solution

The fourth proportional to 508,515.75, 701,751.74 and 282,197.67 is: 389,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,515.75 : 701,751.74 = 282,197.67 : x
  2. Step 2: Convert to fraction form
    508,515.75/701,751.74 = 282,197.67/x
  3. Step 3: Cross multiply
    508,515.75x = 701,751.74 × 282,197.67
  4. Step 4: Simplify right side
    508,515.75x = 198,032,704,535.46
  5. Step 5: Solve for x
    x = 198,032,704,535.46/508,515.75
  6. Step 6: Final answer
    x = 389,432.78

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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.