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Finding the Fourth Proportional to 512,121.39, 706,723.62 and 282,678.64

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Solution

The fourth proportional to 512,121.39, 706,723.62 and 282,678.64 is: 390,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,121.39 : 706,723.62 = 282,678.64 : x
  2. Step 2: Convert to fraction form
    512,121.39/706,723.62 = 282,678.64/x
  3. Step 3: Cross multiply
    512,121.39x = 706,723.62 × 282,678.64
  4. Step 4: Simplify right side
    512,121.39x = 199,775,672,905.94
  5. Step 5: Solve for x
    x = 199,775,672,905.94/512,121.39
  6. Step 6: Final answer
    x = 390,094.38

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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.