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Finding the Fourth Proportional to 235,714.64, 325,280 and 128,282.40

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Solution

The fourth proportional to 235,714.64, 325,280 and 128,282.40 is: 177,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,714.64 : 325,280 = 128,282.40 : x
  2. Step 2: Convert to fraction form
    235,714.64/325,280 = 128,282.40/x
  3. Step 3: Cross multiply
    235,714.64x = 325,280 × 128,282.40
  4. Step 4: Simplify right side
    235,714.64x = 41,727,699,072
  5. Step 5: Solve for x
    x = 41,727,699,072/235,714.64
  6. Step 6: Final answer
    x = 177,026.34

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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.