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Finding the Fourth Proportional to 294,147.16, 405,915.19 and 166,820.02

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Solution

The fourth proportional to 294,147.16, 405,915.19 and 166,820.02 is: 230,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,147.16 : 405,915.19 = 166,820.02 : x
  2. Step 2: Convert to fraction form
    294,147.16/405,915.19 = 166,820.02/x
  3. Step 3: Cross multiply
    294,147.16x = 405,915.19 × 166,820.02
  4. Step 4: Simplify right side
    294,147.16x = 67,714,780,114.10
  5. Step 5: Solve for x
    x = 67,714,780,114.10/294,147.16
  6. Step 6: Final answer
    x = 230,207.15

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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.