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Finding the Fourth Proportional to 512,121.42, 706,723.66 and 282,678.67

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Solution

The fourth proportional to 512,121.42, 706,723.66 and 282,678.67 is: 390,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,121.42 : 706,723.66 = 282,678.67 : x
  2. Step 2: Convert to fraction form
    512,121.42/706,723.66 = 282,678.67/x
  3. Step 3: Cross multiply
    512,121.42x = 706,723.66 × 282,678.67
  4. Step 4: Simplify right side
    512,121.42x = 199,775,704,266.33
  5. Step 5: Solve for x
    x = 199,775,704,266.33/512,121.42
  6. Step 6: Final answer
    x = 390,094.41

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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.