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Finding the Fourth Proportional to 410,130.60, 615,293.10 and 210,481.80

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Solution

The fourth proportional to 410,130.60, 615,293.10 and 210,481.80 is: 315,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,130.60 : 615,293.10 = 210,481.80 : x
  2. Step 2: Convert to fraction form
    410,130.60/615,293.10 = 210,481.80/x
  3. Step 3: Cross multiply
    410,130.60x = 615,293.10 × 210,481.80
  4. Step 4: Simplify right side
    410,130.60x = 129,507,999,215.58
  5. Step 5: Solve for x
    x = 129,507,999,215.58/410,130.60
  6. Step 6: Final answer
    x = 315,772.58

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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.