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Finding the Fourth Proportional to 421,282.31, 631,861.15 and 154,980.54

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Solution

The fourth proportional to 421,282.31, 631,861.15 and 154,980.54 is: 232,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,282.31 : 631,861.15 = 154,980.54 : x
  2. Step 2: Convert to fraction form
    421,282.31/631,861.15 = 154,980.54/x
  3. Step 3: Cross multiply
    421,282.31x = 631,861.15 × 154,980.54
  4. Step 4: Simplify right side
    421,282.31x = 97,926,182,232.02
  5. Step 5: Solve for x
    x = 97,926,182,232.02/421,282.31
  6. Step 6: Final answer
    x = 232,447.89

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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.