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Finding the Fourth Proportional to 340,365, 469,703.70 and 189,471.72

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Solution

The fourth proportional to 340,365, 469,703.70 and 189,471.72 is: 261,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,365 : 469,703.70 = 189,471.72 : x
  2. Step 2: Convert to fraction form
    340,365/469,703.70 = 189,471.72/x
  3. Step 3: Cross multiply
    340,365x = 469,703.70 × 189,471.72
  4. Step 4: Simplify right side
    340,365x = 88,995,567,929.36
  5. Step 5: Solve for x
    x = 88,995,567,929.36/340,365
  6. Step 6: Final answer
    x = 261,470.97

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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.