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Finding the Fourth Proportional to 550,876.22, 760,224.26 and 309,173.76

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Solution

The fourth proportional to 550,876.22, 760,224.26 and 309,173.76 is: 426,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,876.22 : 760,224.26 = 309,173.76 : x
  2. Step 2: Convert to fraction form
    550,876.22/760,224.26 = 309,173.76/x
  3. Step 3: Cross multiply
    550,876.22x = 760,224.26 × 309,173.76
  4. Step 4: Simplify right side
    550,876.22x = 235,041,392,907.42
  5. Step 5: Solve for x
    x = 235,041,392,907.42/550,876.22
  6. Step 6: Final answer
    x = 426,668.25

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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.