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Finding the Fourth Proportional to 513,332.37, 770,129.78 and 213,713.37

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Solution

The fourth proportional to 513,332.37, 770,129.78 and 213,713.37 is: 320,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,332.37 : 770,129.78 = 213,713.37 : x
  2. Step 2: Convert to fraction form
    513,332.37/770,129.78 = 213,713.37/x
  3. Step 3: Cross multiply
    513,332.37x = 770,129.78 × 213,713.37
  4. Step 4: Simplify right side
    513,332.37x = 164,587,029,552.59
  5. Step 5: Solve for x
    x = 164,587,029,552.59/513,332.37
  6. Step 6: Final answer
    x = 320,624.69

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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.