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Finding the Fourth Proportional to 405,411.54, 559,467.84 and 221,650.77

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Solution

The fourth proportional to 405,411.54, 559,467.84 and 221,650.77 is: 305,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,411.54 : 559,467.84 = 221,650.77 : x
  2. Step 2: Convert to fraction form
    405,411.54/559,467.84 = 221,650.77/x
  3. Step 3: Cross multiply
    405,411.54x = 559,467.84 × 221,650.77
  4. Step 4: Simplify right side
    405,411.54x = 124,006,477,526.24
  5. Step 5: Solve for x
    x = 124,006,477,526.24/405,411.54
  6. Step 6: Final answer
    x = 305,878.02

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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.