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Finding the Fourth Proportional to 513,516.28, 770,456.78 and 229,180.98

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Solution

The fourth proportional to 513,516.28, 770,456.78 and 229,180.98 is: 343,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,516.28 : 770,456.78 = 229,180.98 : x
  2. Step 2: Convert to fraction form
    513,516.28/770,456.78 = 229,180.98/x
  3. Step 3: Cross multiply
    513,516.28x = 770,456.78 × 229,180.98
  4. Step 4: Simplify right side
    513,516.28x = 176,574,039,888.04
  5. Step 5: Solve for x
    x = 176,574,039,888.04/513,516.28
  6. Step 6: Final answer
    x = 343,852.86

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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.