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Finding the Fourth Proportional to 301,760.21, 416,255.90 and 188,386.13

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Solution

The fourth proportional to 301,760.21, 416,255.90 and 188,386.13 is: 259,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,760.21 : 416,255.90 = 188,386.13 : x
  2. Step 2: Convert to fraction form
    301,760.21/416,255.90 = 188,386.13/x
  3. Step 3: Cross multiply
    301,760.21x = 416,255.90 × 188,386.13
  4. Step 4: Simplify right side
    301,760.21x = 78,416,838,090.67
  5. Step 5: Solve for x
    x = 78,416,838,090.67/301,760.21
  6. Step 6: Final answer
    x = 259,864.74

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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.