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Finding the Fourth Proportional to 928,797, 1,281,795.84 and 520,923

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Solution

The fourth proportional to 928,797, 1,281,795.84 and 520,923 is: 718,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,797 : 1,281,795.84 = 520,923 : x
  2. Step 2: Convert to fraction form
    928,797/1,281,795.84 = 520,923/x
  3. Step 3: Cross multiply
    928,797x = 1,281,795.84 × 520,923
  4. Step 4: Simplify right side
    928,797x = 667,716,934,360.32
  5. Step 5: Solve for x
    x = 667,716,934,360.32/928,797
  6. Step 6: Final answer
    x = 718,905.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.