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Finding the Fourth Proportional to 389,534, 537,556.96 and 210,686

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Solution

The fourth proportional to 389,534, 537,556.96 and 210,686 is: 290,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,534 : 537,556.96 = 210,686 : x
  2. Step 2: Convert to fraction form
    389,534/537,556.96 = 210,686/x
  3. Step 3: Cross multiply
    389,534x = 537,556.96 × 210,686
  4. Step 4: Simplify right side
    389,534x = 113,255,725,674.56
  5. Step 5: Solve for x
    x = 113,255,725,674.56/389,534
  6. Step 6: Final answer
    x = 290,746.70

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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.