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Finding the Fourth Proportional to 293,078.40, 439,617.60 and 82,713.60

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Solution

The fourth proportional to 293,078.40, 439,617.60 and 82,713.60 is: 124,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,078.40 : 439,617.60 = 82,713.60 : x
  2. Step 2: Convert to fraction form
    293,078.40/439,617.60 = 82,713.60/x
  3. Step 3: Cross multiply
    293,078.40x = 439,617.60 × 82,713.60
  4. Step 4: Simplify right side
    293,078.40x = 36,362,354,319.36
  5. Step 5: Solve for x
    x = 36,362,354,319.36/293,078.40
  6. Step 6: Final answer
    x = 124,070.40

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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.