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Finding the Fourth Proportional to 285,421.10, 393,894.09 and 158,096.68

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Solution

The fourth proportional to 285,421.10, 393,894.09 and 158,096.68 is: 218,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,421.10 : 393,894.09 = 158,096.68 : x
  2. Step 2: Convert to fraction form
    285,421.10/393,894.09 = 158,096.68/x
  3. Step 3: Cross multiply
    285,421.10x = 393,894.09 × 158,096.68
  4. Step 4: Simplify right side
    285,421.10x = 62,273,346,915.89
  5. Step 5: Solve for x
    x = 62,273,346,915.89/285,421.10
  6. Step 6: Final answer
    x = 218,180.60

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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.