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Finding the Fourth Proportional to 343,406.30, 514,125.30 and 333,564.80

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Solution

The fourth proportional to 343,406.30, 514,125.30 and 333,564.80 is: 499,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,406.30 : 514,125.30 = 333,564.80 : x
  2. Step 2: Convert to fraction form
    343,406.30/514,125.30 = 333,564.80/x
  3. Step 3: Cross multiply
    343,406.30x = 514,125.30 × 333,564.80
  4. Step 4: Simplify right side
    343,406.30x = 171,494,102,869.44
  5. Step 5: Solve for x
    x = 171,494,102,869.44/343,406.30
  6. Step 6: Final answer
    x = 499,391.25

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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.