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Finding the Fourth Proportional to 357,093.76, 493,020.23 and 221,271.84

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Solution

The fourth proportional to 357,093.76, 493,020.23 and 221,271.84 is: 305,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,093.76 : 493,020.23 = 221,271.84 : x
  2. Step 2: Convert to fraction form
    357,093.76/493,020.23 = 221,271.84/x
  3. Step 3: Cross multiply
    357,093.76x = 493,020.23 × 221,271.84
  4. Step 4: Simplify right side
    357,093.76x = 109,091,490,431.04
  5. Step 5: Solve for x
    x = 109,091,490,431.04/357,093.76
  6. Step 6: Final answer
    x = 305,498.17

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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.