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Finding the Fourth Proportional to 389,205.77, 537,103.72 and 210,357.77

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Solution

The fourth proportional to 389,205.77, 537,103.72 and 210,357.77 is: 290,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,205.77 : 537,103.72 = 210,357.77 : x
  2. Step 2: Convert to fraction form
    389,205.77/537,103.72 = 210,357.77/x
  3. Step 3: Cross multiply
    389,205.77x = 537,103.72 × 210,357.77
  4. Step 4: Simplify right side
    389,205.77x = 112,983,940,797.90
  5. Step 5: Solve for x
    x = 112,983,940,797.90/389,205.77
  6. Step 6: Final answer
    x = 290,293.59

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1.5x scale

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.