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Finding the Fourth Proportional to 410,090.80, 615,078.60 and 129,636.40

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Solution

The fourth proportional to 410,090.80, 615,078.60 and 129,636.40 is: 194,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,090.80 : 615,078.60 = 129,636.40 : x
  2. Step 2: Convert to fraction form
    410,090.80/615,078.60 = 129,636.40/x
  3. Step 3: Cross multiply
    410,090.80x = 615,078.60 × 129,636.40
  4. Step 4: Simplify right side
    410,090.80x = 79,736,575,421.04
  5. Step 5: Solve for x
    x = 79,736,575,421.04/410,090.80
  6. Step 6: Final answer
    x = 194,436.39

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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.