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Finding the Fourth Proportional to 398,897.72, 598,342 and 114,595.24

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Solution

The fourth proportional to 398,897.72, 598,342 and 114,595.24 is: 171,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,897.72 : 598,342 = 114,595.24 : x
  2. Step 2: Convert to fraction form
    398,897.72/598,342 = 114,595.24/x
  3. Step 3: Cross multiply
    398,897.72x = 598,342 × 114,595.24
  4. Step 4: Simplify right side
    398,897.72x = 68,567,145,092.08
  5. Step 5: Solve for x
    x = 68,567,145,092.08/398,897.72
  6. Step 6: Final answer
    x = 171,891.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.