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Finding the Fourth Proportional to 389,157, 537,037.20 and 210,309

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Solution

The fourth proportional to 389,157, 537,037.20 and 210,309 is: 290,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,157 : 537,037.20 = 210,309 : x
  2. Step 2: Convert to fraction form
    389,157/537,037.20 = 210,309/x
  3. Step 3: Cross multiply
    389,157x = 537,037.20 × 210,309
  4. Step 4: Simplify right side
    389,157x = 112,943,756,494.80
  5. Step 5: Solve for x
    x = 112,943,756,494.80/389,157
  6. Step 6: Final answer
    x = 290,226.71

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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.