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Finding the Fourth Proportional to 421,978.02, 632,967.06 and 126,490.02

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Solution

The fourth proportional to 421,978.02, 632,967.06 and 126,490.02 is: 189,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,978.02 : 632,967.06 = 126,490.02 : x
  2. Step 2: Convert to fraction form
    421,978.02/632,967.06 = 126,490.02/x
  3. Step 3: Cross multiply
    421,978.02x = 632,967.06 × 126,490.02
  4. Step 4: Simplify right side
    421,978.02x = 80,064,016,078.74
  5. Step 5: Solve for x
    x = 80,064,016,078.74/421,978.02
  6. Step 6: Final answer
    x = 189,735.04

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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.