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Finding the Fourth Proportional to 512,121.36, 706,727.54 and 282,678.72

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Solution

The fourth proportional to 512,121.36, 706,727.54 and 282,678.72 is: 390,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,121.36 : 706,727.54 = 282,678.72 : x
  2. Step 2: Convert to fraction form
    512,121.36/706,727.54 = 282,678.72/x
  3. Step 3: Cross multiply
    512,121.36x = 706,727.54 × 282,678.72
  4. Step 4: Simplify right side
    512,121.36x = 199,776,834,982.56
  5. Step 5: Solve for x
    x = 199,776,834,982.56/512,121.36
  6. Step 6: Final answer
    x = 390,096.67

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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.