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Finding the Fourth Proportional to 816,886.76, 1,225,330.68 and 255,965

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Solution

The fourth proportional to 816,886.76, 1,225,330.68 and 255,965 is: 383,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,886.76 : 1,225,330.68 = 255,965 : x
  2. Step 2: Convert to fraction form
    816,886.76/1,225,330.68 = 255,965/x
  3. Step 3: Cross multiply
    816,886.76x = 1,225,330.68 × 255,965
  4. Step 4: Simplify right side
    816,886.76x = 313,641,767,506.20
  5. Step 5: Solve for x
    x = 313,641,767,506.20/816,886.76
  6. Step 6: Final answer
    x = 383,947.67

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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.