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Finding the Fourth Proportional to 353,880, 488,354.40 and 194,904

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Solution

The fourth proportional to 353,880, 488,354.40 and 194,904 is: 268,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,880 : 488,354.40 = 194,904 : x
  2. Step 2: Convert to fraction form
    353,880/488,354.40 = 194,904/x
  3. Step 3: Cross multiply
    353,880x = 488,354.40 × 194,904
  4. Step 4: Simplify right side
    353,880x = 95,182,225,977.60
  5. Step 5: Solve for x
    x = 95,182,225,977.60/353,880
  6. Step 6: Final answer
    x = 268,967.52

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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.