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Finding the Fourth Proportional to 410,323.36, 615,478.64 and 210,528.44

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Solution

The fourth proportional to 410,323.36, 615,478.64 and 210,528.44 is: 315,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,323.36 : 615,478.64 = 210,528.44 : x
  2. Step 2: Convert to fraction form
    410,323.36/615,478.64 = 210,528.44/x
  3. Step 3: Cross multiply
    410,323.36x = 615,478.64 × 210,528.44
  4. Step 4: Simplify right side
    410,323.36x = 129,575,757,932.52
  5. Step 5: Solve for x
    x = 129,575,757,932.52/410,323.36
  6. Step 6: Final answer
    x = 315,789.38

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1.5x scale

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.