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Finding the Fourth Proportional to 611,674.68, 917,812.71 and 274,953.21

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Solution

The fourth proportional to 611,674.68, 917,812.71 and 274,953.21 is: 412,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,674.68 : 917,812.71 = 274,953.21 : x
  2. Step 2: Convert to fraction form
    611,674.68/917,812.71 = 274,953.21/x
  3. Step 3: Cross multiply
    611,674.68x = 917,812.71 × 274,953.21
  4. Step 4: Simplify right side
    611,674.68x = 252,355,550,793.30
  5. Step 5: Solve for x
    x = 252,355,550,793.30/611,674.68
  6. Step 6: Final answer
    x = 412,564.98

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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.