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Finding the Fourth Proportional to 395,689.96, 546,285.54 and 259,961.08

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Solution

The fourth proportional to 395,689.96, 546,285.54 and 259,961.08 is: 358,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,689.96 : 546,285.54 = 259,961.08 : x
  2. Step 2: Convert to fraction form
    395,689.96/546,285.54 = 259,961.08/x
  3. Step 3: Cross multiply
    395,689.96x = 546,285.54 × 259,961.08
  4. Step 4: Simplify right side
    395,689.96x = 142,012,978,966.78
  5. Step 5: Solve for x
    x = 142,012,978,966.78/395,689.96
  6. Step 6: Final answer
    x = 358,899.63

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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.