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Finding the Fourth Proportional to 421,393.59, 631,484.10 and 181,441.62

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Solution

The fourth proportional to 421,393.59, 631,484.10 and 181,441.62 is: 271,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,393.59 : 631,484.10 = 181,441.62 : x
  2. Step 2: Convert to fraction form
    421,393.59/631,484.10 = 181,441.62/x
  3. Step 3: Cross multiply
    421,393.59x = 631,484.10 × 181,441.62
  4. Step 4: Simplify right side
    421,393.59x = 114,577,498,108.24
  5. Step 5: Solve for x
    x = 114,577,498,108.24/421,393.59
  6. Step 6: Final answer
    x = 271,901.38

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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.