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Finding the Fourth Proportional to 410,602.60, 615,903.90 and 188,986.60

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Solution

The fourth proportional to 410,602.60, 615,903.90 and 188,986.60 is: 283,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,602.60 : 615,903.90 = 188,986.60 : x
  2. Step 2: Convert to fraction form
    410,602.60/615,903.90 = 188,986.60/x
  3. Step 3: Cross multiply
    410,602.60x = 615,903.90 × 188,986.60
  4. Step 4: Simplify right side
    410,602.60x = 116,397,583,987.74
  5. Step 5: Solve for x
    x = 116,397,583,987.74/410,602.60
  6. Step 6: Final answer
    x = 283,479.90

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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.