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Finding the Fourth Proportional to 611,145.40, 917,409.30 and 361,967.80

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Solution

The fourth proportional to 611,145.40, 917,409.30 and 361,967.80 is: 543,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,145.40 : 917,409.30 = 361,967.80 : x
  2. Step 2: Convert to fraction form
    611,145.40/917,409.30 = 361,967.80/x
  3. Step 3: Cross multiply
    611,145.40x = 917,409.30 × 361,967.80
  4. Step 4: Simplify right side
    611,145.40x = 332,072,626,020.54
  5. Step 5: Solve for x
    x = 332,072,626,020.54/611,145.40
  6. Step 6: Final answer
    x = 543,361.08

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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.