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Finding the Fourth Proportional to 257,492.43, 355,376.33 and 142,796.58

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Solution

The fourth proportional to 257,492.43, 355,376.33 and 142,796.58 is: 197,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,492.43 : 355,376.33 = 142,796.58 : x
  2. Step 2: Convert to fraction form
    257,492.43/355,376.33 = 142,796.58/x
  3. Step 3: Cross multiply
    257,492.43x = 355,376.33 × 142,796.58
  4. Step 4: Simplify right side
    257,492.43x = 50,746,523,822.97
  5. Step 5: Solve for x
    x = 50,746,523,822.97/257,492.43
  6. Step 6: Final answer
    x = 197,079.67

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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.