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Finding the Fourth Proportional to 340,782.51, 470,279.87 and 197,625.54

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Solution

The fourth proportional to 340,782.51, 470,279.87 and 197,625.54 is: 272,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,782.51 : 470,279.87 = 197,625.54 : x
  2. Step 2: Convert to fraction form
    340,782.51/470,279.87 = 197,625.54/x
  3. Step 3: Cross multiply
    340,782.51x = 470,279.87 × 197,625.54
  4. Step 4: Simplify right side
    340,782.51x = 92,939,313,259.88
  5. Step 5: Solve for x
    x = 92,939,313,259.88/340,782.51
  6. Step 6: Final answer
    x = 272,723.25

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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.