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Finding the Fourth Proportional to 689,978.27, 952,169.88 and 384,048.07

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Solution

The fourth proportional to 689,978.27, 952,169.88 and 384,048.07 is: 529,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,978.27 : 952,169.88 = 384,048.07 : x
  2. Step 2: Convert to fraction form
    689,978.27/952,169.88 = 384,048.07/x
  3. Step 3: Cross multiply
    689,978.27x = 952,169.88 × 384,048.07
  4. Step 4: Simplify right side
    689,978.27x = 365,679,004,726.13
  5. Step 5: Solve for x
    x = 365,679,004,726.13/689,978.27
  6. Step 6: Final answer
    x = 529,986.26

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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.