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Finding the Fourth Proportional to 317,516.76, 438,104.70 and 183,303

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Solution

The fourth proportional to 317,516.76, 438,104.70 and 183,303 is: 252,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,516.76 : 438,104.70 = 183,303 : x
  2. Step 2: Convert to fraction form
    317,516.76/438,104.70 = 183,303/x
  3. Step 3: Cross multiply
    317,516.76x = 438,104.70 × 183,303
  4. Step 4: Simplify right side
    317,516.76x = 80,305,905,824.10
  5. Step 5: Solve for x
    x = 80,305,905,824.10/317,516.76
  6. Step 6: Final answer
    x = 252,918.64

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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.