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Finding the Fourth Proportional to 340,323, 469,645.74 and 189,416.76

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Solution

The fourth proportional to 340,323, 469,645.74 and 189,416.76 is: 261,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,323 : 469,645.74 = 189,416.76 : x
  2. Step 2: Convert to fraction form
    340,323/469,645.74 = 189,416.76/x
  3. Step 3: Cross multiply
    340,323x = 469,645.74 × 189,416.76
  4. Step 4: Simplify right side
    340,323x = 88,958,774,418.60
  5. Step 5: Solve for x
    x = 88,958,774,418.60/340,323
  6. Step 6: Final answer
    x = 261,395.13

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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.