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Finding the Fourth Proportional to 410,200.40, 614,839.80 and 210,443.60

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Solution

The fourth proportional to 410,200.40, 614,839.80 and 210,443.60 is: 315,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,200.40 : 614,839.80 = 210,443.60 : x
  2. Step 2: Convert to fraction form
    410,200.40/614,839.80 = 210,443.60/x
  3. Step 3: Cross multiply
    410,200.40x = 614,839.80 × 210,443.60
  4. Step 4: Simplify right side
    410,200.40x = 129,389,100,935.28
  5. Step 5: Solve for x
    x = 129,389,100,935.28/410,200.40
  6. Step 6: Final answer
    x = 315,429.00

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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.