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Finding the Fourth Proportional to 513,234.84, 768,351.06 and 299,348.76

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Solution

The fourth proportional to 513,234.84, 768,351.06 and 299,348.76 is: 448,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,234.84 : 768,351.06 = 299,348.76 : x
  2. Step 2: Convert to fraction form
    513,234.84/768,351.06 = 299,348.76/x
  3. Step 3: Cross multiply
    513,234.84x = 768,351.06 × 299,348.76
  4. Step 4: Simplify right side
    513,234.84x = 230,004,937,055.69
  5. Step 5: Solve for x
    x = 230,004,937,055.69/513,234.84
  6. Step 6: Final answer
    x = 448,147.55

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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.