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Finding the Fourth Proportional to 421,025, 631,848.54 and 199,409

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Solution

The fourth proportional to 421,025, 631,848.54 and 199,409 is: 299,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,025 : 631,848.54 = 199,409 : x
  2. Step 2: Convert to fraction form
    421,025/631,848.54 = 199,409/x
  3. Step 3: Cross multiply
    421,025x = 631,848.54 × 199,409
  4. Step 4: Simplify right side
    421,025x = 125,996,285,512.86
  5. Step 5: Solve for x
    x = 125,996,285,512.86/421,025
  6. Step 6: Final answer
    x = 299,260.82

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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.