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Finding the Fourth Proportional to 438,814.80, 658,222.20 and 412,570.80

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Solution

The fourth proportional to 438,814.80, 658,222.20 and 412,570.80 is: 618,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,814.80 : 658,222.20 = 412,570.80 : x
  2. Step 2: Convert to fraction form
    438,814.80/658,222.20 = 412,570.80/x
  3. Step 3: Cross multiply
    438,814.80x = 658,222.20 × 412,570.80
  4. Step 4: Simplify right side
    438,814.80x = 271,563,259,631.76
  5. Step 5: Solve for x
    x = 271,563,259,631.76/438,814.80
  6. Step 6: Final answer
    x = 618,856.20

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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.