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Finding the Fourth Proportional to 409,829.80, 614,744.70 and 223,205.80

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Solution

The fourth proportional to 409,829.80, 614,744.70 and 223,205.80 is: 334,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,829.80 : 614,744.70 = 223,205.80 : x
  2. Step 2: Convert to fraction form
    409,829.80/614,744.70 = 223,205.80/x
  3. Step 3: Cross multiply
    409,829.80x = 614,744.70 × 223,205.80
  4. Step 4: Simplify right side
    409,829.80x = 137,214,582,559.26
  5. Step 5: Solve for x
    x = 137,214,582,559.26/409,829.80
  6. Step 6: Final answer
    x = 334,808.70

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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.