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Finding the Fourth Proportional to 421,203.88, 631,141.62 and 154,597.60

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Solution

The fourth proportional to 421,203.88, 631,141.62 and 154,597.60 is: 231,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,203.88 : 631,141.62 = 154,597.60 : x
  2. Step 2: Convert to fraction form
    421,203.88/631,141.62 = 154,597.60/x
  3. Step 3: Cross multiply
    421,203.88x = 631,141.62 × 154,597.60
  4. Step 4: Simplify right side
    421,203.88x = 97,572,979,712.11
  5. Step 5: Solve for x
    x = 97,572,979,712.11/421,203.88
  6. Step 6: Final answer
    x = 231,652.61

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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.