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Finding the Fourth Proportional to 513,489.03, 770,303.61 and 213,899.55

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Solution

The fourth proportional to 513,489.03, 770,303.61 and 213,899.55 is: 320,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,489.03 : 770,303.61 = 213,899.55 : x
  2. Step 2: Convert to fraction form
    513,489.03/770,303.61 = 213,899.55/x
  3. Step 3: Cross multiply
    513,489.03x = 770,303.61 × 213,899.55
  4. Step 4: Simplify right side
    513,489.03x = 164,767,595,542.38
  5. Step 5: Solve for x
    x = 164,767,595,542.38/513,489.03
  6. Step 6: Final answer
    x = 320,878.51

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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.