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Finding the Fourth Proportional to 421,459.90, 631,191.12 and 241,643.14

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Solution

The fourth proportional to 421,459.90, 631,191.12 and 241,643.14 is: 361,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,459.90 : 631,191.12 = 241,643.14 : x
  2. Step 2: Convert to fraction form
    421,459.90/631,191.12 = 241,643.14/x
  3. Step 3: Cross multiply
    421,459.90x = 631,191.12 × 241,643.14
  4. Step 4: Simplify right side
    421,459.90x = 152,523,004,176.92
  5. Step 5: Solve for x
    x = 152,523,004,176.92/421,459.90
  6. Step 6: Final answer
    x = 361,892.09

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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.