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Finding the Fourth Proportional to 816,902.76, 1,225,354.68 and 255,981

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Solution

The fourth proportional to 816,902.76, 1,225,354.68 and 255,981 is: 383,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,902.76 : 1,225,354.68 = 255,981 : x
  2. Step 2: Convert to fraction form
    816,902.76/1,225,354.68 = 255,981/x
  3. Step 3: Cross multiply
    816,902.76x = 1,225,354.68 × 255,981
  4. Step 4: Simplify right side
    816,902.76x = 313,667,516,341.08
  5. Step 5: Solve for x
    x = 313,667,516,341.08/816,902.76
  6. Step 6: Final answer
    x = 383,971.67

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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.