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Finding the Fourth Proportional to 218,634.64, 328,126.92 and 113,483.68

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Solution

The fourth proportional to 218,634.64, 328,126.92 and 113,483.68 is: 170,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,634.64 : 328,126.92 = 113,483.68 : x
  2. Step 2: Convert to fraction form
    218,634.64/328,126.92 = 113,483.68/x
  3. Step 3: Cross multiply
    218,634.64x = 328,126.92 × 113,483.68
  4. Step 4: Simplify right side
    218,634.64x = 37,237,051,946.02
  5. Step 5: Solve for x
    x = 37,237,051,946.02/218,634.64
  6. Step 6: Final answer
    x = 170,316.34

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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.