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Finding the Fourth Proportional to 341,295.75, 511,545 and 256,784.40

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Solution

The fourth proportional to 341,295.75, 511,545 and 256,784.40 is: 384,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,295.75 : 511,545 = 256,784.40 : x
  2. Step 2: Convert to fraction form
    341,295.75/511,545 = 256,784.40/x
  3. Step 3: Cross multiply
    341,295.75x = 511,545 × 256,784.40
  4. Step 4: Simplify right side
    341,295.75x = 131,356,775,898
  5. Step 5: Solve for x
    x = 131,356,775,898/341,295.75
  6. Step 6: Final answer
    x = 384,876.68

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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.