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Finding the Fourth Proportional to 512,731.10, 707,564.76 and 283,287.67

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Solution

The fourth proportional to 512,731.10, 707,564.76 and 283,287.67 is: 390,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,731.10 : 707,564.76 = 283,287.67 : x
  2. Step 2: Convert to fraction form
    512,731.10/707,564.76 = 283,287.67/x
  3. Step 3: Cross multiply
    512,731.10x = 707,564.76 × 283,287.67
  4. Step 4: Simplify right side
    512,731.10x = 200,444,372,234.51
  5. Step 5: Solve for x
    x = 200,444,372,234.51/512,731.10
  6. Step 6: Final answer
    x = 390,934.69

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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.