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Finding the Fourth Proportional to 227,080.64, 340,039.38 and 189,547.40

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Solution

The fourth proportional to 227,080.64, 340,039.38 and 189,547.40 is: 283,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,080.64 : 340,039.38 = 189,547.40 : x
  2. Step 2: Convert to fraction form
    227,080.64/340,039.38 = 189,547.40/x
  3. Step 3: Cross multiply
    227,080.64x = 340,039.38 × 189,547.40
  4. Step 4: Simplify right side
    227,080.64x = 64,453,580,376.61
  5. Step 5: Solve for x
    x = 64,453,580,376.61/227,080.64
  6. Step 6: Final answer
    x = 283,835.65

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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.