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Finding the Fourth Proportional to 520,931, 718,889.12 and 282,467

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Solution

The fourth proportional to 520,931, 718,889.12 and 282,467 is: 389,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,931 : 718,889.12 = 282,467 : x
  2. Step 2: Convert to fraction form
    520,931/718,889.12 = 282,467/x
  3. Step 3: Cross multiply
    520,931x = 718,889.12 × 282,467
  4. Step 4: Simplify right side
    520,931x = 203,062,453,059.04
  5. Step 5: Solve for x
    x = 203,062,453,059.04/520,931
  6. Step 6: Final answer
    x = 389,806.81

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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.