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Finding the Fourth Proportional to 653,869.68, 980,597.16 and 210,534

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Solution

The fourth proportional to 653,869.68, 980,597.16 and 210,534 is: 315,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,869.68 : 980,597.16 = 210,534 : x
  2. Step 2: Convert to fraction form
    653,869.68/980,597.16 = 210,534/x
  3. Step 3: Cross multiply
    653,869.68x = 980,597.16 × 210,534
  4. Step 4: Simplify right side
    653,869.68x = 206,449,042,483.44
  5. Step 5: Solve for x
    x = 206,449,042,483.44/653,869.68
  6. Step 6: Final answer
    x = 315,734.23

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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.