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Finding the Fourth Proportional to 286,838.80, 430,258.20 and 162,422.80

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Solution

The fourth proportional to 286,838.80, 430,258.20 and 162,422.80 is: 243,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,838.80 : 430,258.20 = 162,422.80 : x
  2. Step 2: Convert to fraction form
    286,838.80/430,258.20 = 162,422.80/x
  3. Step 3: Cross multiply
    286,838.80x = 430,258.20 × 162,422.80
  4. Step 4: Simplify right side
    286,838.80x = 69,883,741,566.96
  5. Step 5: Solve for x
    x = 69,883,741,566.96/286,838.80
  6. Step 6: Final answer
    x = 243,634.20

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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.