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Finding the Fourth Proportional to 340,627.82, 470,070.96 and 189,724.82

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Solution

The fourth proportional to 340,627.82, 470,070.96 and 189,724.82 is: 261,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,627.82 : 470,070.96 = 189,724.82 : x
  2. Step 2: Convert to fraction form
    340,627.82/470,070.96 = 189,724.82/x
  3. Step 3: Cross multiply
    340,627.82x = 470,070.96 × 189,724.82
  4. Step 4: Simplify right side
    340,627.82x = 89,184,128,273.23
  5. Step 5: Solve for x
    x = 89,184,128,273.23/340,627.82
  6. Step 6: Final answer
    x = 261,822.80

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1.5x scale

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.