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Finding the Fourth Proportional to 305,409.15, 457,736.94 and 221,457.51

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Solution

The fourth proportional to 305,409.15, 457,736.94 and 221,457.51 is: 331,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,409.15 : 457,736.94 = 221,457.51 : x
  2. Step 2: Convert to fraction form
    305,409.15/457,736.94 = 221,457.51/x
  3. Step 3: Cross multiply
    305,409.15x = 457,736.94 × 221,457.51
  4. Step 4: Simplify right side
    305,409.15x = 101,369,282,967.42
  5. Step 5: Solve for x
    x = 101,369,282,967.42/305,409.15
  6. Step 6: Final answer
    x = 331,913.05

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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.