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Finding the Fourth Proportional to 421,099.68, 631,899.60 and 155,047.12

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Solution

The fourth proportional to 421,099.68, 631,899.60 and 155,047.12 is: 232,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,099.68 : 631,899.60 = 155,047.12 : x
  2. Step 2: Convert to fraction form
    421,099.68/631,899.60 = 155,047.12/x
  3. Step 3: Cross multiply
    421,099.68x = 631,899.60 × 155,047.12
  4. Step 4: Simplify right side
    421,099.68x = 97,974,213,109.15
  5. Step 5: Solve for x
    x = 97,974,213,109.15/421,099.68
  6. Step 6: Final answer
    x = 232,662.76

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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.