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Finding the Fourth Proportional to 523,805.50, 722,851.59 and 285,341.50

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Solution

The fourth proportional to 523,805.50, 722,851.59 and 285,341.50 is: 393,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,805.50 : 722,851.59 = 285,341.50 : x
  2. Step 2: Convert to fraction form
    523,805.50/722,851.59 = 285,341.50/x
  3. Step 3: Cross multiply
    523,805.50x = 722,851.59 × 285,341.50
  4. Step 4: Simplify right side
    523,805.50x = 206,259,556,967.99
  5. Step 5: Solve for x
    x = 206,259,556,967.99/523,805.50
  6. Step 6: Final answer
    x = 393,771.27

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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.