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Finding the Fourth Proportional to 405,298.95, 559,022.47 and 284,467.20

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Solution

The fourth proportional to 405,298.95, 559,022.47 and 284,467.20 is: 392,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,298.95 : 559,022.47 = 284,467.20 : x
  2. Step 2: Convert to fraction form
    405,298.95/559,022.47 = 284,467.20/x
  3. Step 3: Cross multiply
    405,298.95x = 559,022.47 × 284,467.20
  4. Step 4: Simplify right side
    405,298.95x = 159,023,556,777.98
  5. Step 5: Solve for x
    x = 159,023,556,777.98/405,298.95
  6. Step 6: Final answer
    x = 392,361.14

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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.