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Finding the Fourth Proportional to 309,420, 426,999.60 and 175,284

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Solution

The fourth proportional to 309,420, 426,999.60 and 175,284 is: 241,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,420 : 426,999.60 = 175,284 : x
  2. Step 2: Convert to fraction form
    309,420/426,999.60 = 175,284/x
  3. Step 3: Cross multiply
    309,420x = 426,999.60 × 175,284
  4. Step 4: Simplify right side
    309,420x = 74,846,197,886.40
  5. Step 5: Solve for x
    x = 74,846,197,886.40/309,420
  6. Step 6: Final answer
    x = 241,891.92

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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.