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Finding the Fourth Proportional to 650,910.47, 898,047.43 and 421,643.42

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Solution

The fourth proportional to 650,910.47, 898,047.43 and 421,643.42 is: 581,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,910.47 : 898,047.43 = 421,643.42 : x
  2. Step 2: Convert to fraction form
    650,910.47/898,047.43 = 421,643.42/x
  3. Step 3: Cross multiply
    650,910.47x = 898,047.43 × 421,643.42
  4. Step 4: Simplify right side
    650,910.47x = 378,655,784,163.07
  5. Step 5: Solve for x
    x = 378,655,784,163.07/650,910.47
  6. Step 6: Final answer
    x = 581,732.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.