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Finding the Fourth Proportional to 521,729.60, 783,112.80 and 255,790.40

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Solution

The fourth proportional to 521,729.60, 783,112.80 and 255,790.40 is: 383,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,729.60 : 783,112.80 = 255,790.40 : x
  2. Step 2: Convert to fraction form
    521,729.60/783,112.80 = 255,790.40/x
  3. Step 3: Cross multiply
    521,729.60x = 783,112.80 × 255,790.40
  4. Step 4: Simplify right side
    521,729.60x = 200,312,736,357.12
  5. Step 5: Solve for x
    x = 200,312,736,357.12/521,729.60
  6. Step 6: Final answer
    x = 383,939.76

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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.