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Finding the Fourth Proportional to 421,526.67, 631,189.43 and 276,978.00

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Solution

The fourth proportional to 421,526.67, 631,189.43 and 276,978.00 is: 414,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,526.67 : 631,189.43 = 276,978.00 : x
  2. Step 2: Convert to fraction form
    421,526.67/631,189.43 = 276,978.00/x
  3. Step 3: Cross multiply
    421,526.67x = 631,189.43 × 276,978.00
  4. Step 4: Simplify right side
    421,526.67x = 174,825,584,412.84
  5. Step 5: Solve for x
    x = 174,825,584,412.84/421,526.67
  6. Step 6: Final answer
    x = 414,743.83

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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.