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Finding the Fourth Proportional to 421,259.78, 631,889.68 and 140,777.03

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Solution

The fourth proportional to 421,259.78, 631,889.68 and 140,777.03 is: 211,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,259.78 : 631,889.68 = 140,777.03 : x
  2. Step 2: Convert to fraction form
    421,259.78/631,889.68 = 140,777.03/x
  3. Step 3: Cross multiply
    421,259.78x = 631,889.68 × 140,777.03
  4. Step 4: Simplify right side
    421,259.78x = 88,955,551,734.17
  5. Step 5: Solve for x
    x = 88,955,551,734.17/421,259.78
  6. Step 6: Final answer
    x = 211,165.55

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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.