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Finding the Fourth Proportional to 421,786.56, 632,927.12 and 155,732.57

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Solution

The fourth proportional to 421,786.56, 632,927.12 and 155,732.57 is: 233,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,786.56 : 632,927.12 = 155,732.57 : x
  2. Step 2: Convert to fraction form
    421,786.56/632,927.12 = 155,732.57/x
  3. Step 3: Cross multiply
    421,786.56x = 632,927.12 × 155,732.57
  4. Step 4: Simplify right side
    421,786.56x = 98,567,363,077.00
  5. Step 5: Solve for x
    x = 98,567,363,077.00/421,786.56
  6. Step 6: Final answer
    x = 233,690.15

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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.