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Finding the Fourth Proportional to 512,002.65, 706,580.64 and 279,442.29

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Solution

The fourth proportional to 512,002.65, 706,580.64 and 279,442.29 is: 385,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,002.65 : 706,580.64 = 279,442.29 : x
  2. Step 2: Convert to fraction form
    512,002.65/706,580.64 = 279,442.29/x
  3. Step 3: Cross multiply
    512,002.65x = 706,580.64 × 279,442.29
  4. Step 4: Simplify right side
    512,002.65x = 197,448,512,111.27
  5. Step 5: Solve for x
    x = 197,448,512,111.27/512,002.65
  6. Step 6: Final answer
    x = 385,639.63

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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.