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Finding the Fourth Proportional to 414,486.40, 621,729.60 and 114,966.40

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Solution

The fourth proportional to 414,486.40, 621,729.60 and 114,966.40 is: 172,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,486.40 : 621,729.60 = 114,966.40 : x
  2. Step 2: Convert to fraction form
    414,486.40/621,729.60 = 114,966.40/x
  3. Step 3: Cross multiply
    414,486.40x = 621,729.60 × 114,966.40
  4. Step 4: Simplify right side
    414,486.40x = 71,478,013,885.44
  5. Step 5: Solve for x
    x = 71,478,013,885.44/414,486.40
  6. Step 6: Final answer
    x = 172,449.60

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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.