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Finding the Fourth Proportional to 486,884.81, 729,238.19 and 281,467.76

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Solution

The fourth proportional to 486,884.81, 729,238.19 and 281,467.76 is: 421,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,884.81 : 729,238.19 = 281,467.76 : x
  2. Step 2: Convert to fraction form
    486,884.81/729,238.19 = 281,467.76/x
  3. Step 3: Cross multiply
    486,884.81x = 729,238.19 × 281,467.76
  4. Step 4: Simplify right side
    486,884.81x = 205,257,038,438.42
  5. Step 5: Solve for x
    x = 205,257,038,438.42/486,884.81
  6. Step 6: Final answer
    x = 421,572.07

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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.