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Finding the Fourth Proportional to 421,786, 632,686.40 and 155,409.44

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Solution

The fourth proportional to 421,786, 632,686.40 and 155,409.44 is: 233,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,786 : 632,686.40 = 155,409.44 : x
  2. Step 2: Convert to fraction form
    421,786/632,686.40 = 155,409.44/x
  3. Step 3: Cross multiply
    421,786x = 632,686.40 × 155,409.44
  4. Step 4: Simplify right side
    421,786x = 98,325,439,119.62
  5. Step 5: Solve for x
    x = 98,325,439,119.62/421,786
  6. Step 6: Final answer
    x = 233,116.89

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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.