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Finding the Fourth Proportional to 392,435.63, 588,741.19 and 143,117.63

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Solution

The fourth proportional to 392,435.63, 588,741.19 and 143,117.63 is: 214,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,435.63 : 588,741.19 = 143,117.63 : x
  2. Step 2: Convert to fraction form
    392,435.63/588,741.19 = 143,117.63/x
  3. Step 3: Cross multiply
    392,435.63x = 588,741.19 × 143,117.63
  4. Step 4: Simplify right side
    392,435.63x = 84,259,240,852.47
  5. Step 5: Solve for x
    x = 84,259,240,852.47/392,435.63
  6. Step 6: Final answer
    x = 214,708.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.