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Finding the Fourth Proportional to 541,903.40, 811,980.30 and 341,865.80

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Solution

The fourth proportional to 541,903.40, 811,980.30 and 341,865.80 is: 512,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,903.40 : 811,980.30 = 341,865.80 : x
  2. Step 2: Convert to fraction form
    541,903.40/811,980.30 = 341,865.80/x
  3. Step 3: Cross multiply
    541,903.40x = 811,980.30 × 341,865.80
  4. Step 4: Simplify right side
    541,903.40x = 277,588,294,843.74
  5. Step 5: Solve for x
    x = 277,588,294,843.74/541,903.40
  6. Step 6: Final answer
    x = 512,246.82

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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.