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Finding the Fourth Proportional to 341,941.20, 512,911.80 and 105,356.40

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Solution

The fourth proportional to 341,941.20, 512,911.80 and 105,356.40 is: 158,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,941.20 : 512,911.80 = 105,356.40 : x
  2. Step 2: Convert to fraction form
    341,941.20/512,911.80 = 105,356.40/x
  3. Step 3: Cross multiply
    341,941.20x = 512,911.80 × 105,356.40
  4. Step 4: Simplify right side
    341,941.20x = 54,038,540,765.52
  5. Step 5: Solve for x
    x = 54,038,540,765.52/341,941.20
  6. Step 6: Final answer
    x = 158,034.60

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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.