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Finding the Fourth Proportional to 501,084.70, 749,877.45 and 343,620.70

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Solution

The fourth proportional to 501,084.70, 749,877.45 and 343,620.70 is: 514,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,084.70 : 749,877.45 = 343,620.70 : x
  2. Step 2: Convert to fraction form
    501,084.70/749,877.45 = 343,620.70/x
  3. Step 3: Cross multiply
    501,084.70x = 749,877.45 × 343,620.70
  4. Step 4: Simplify right side
    501,084.70x = 257,673,414,283.22
  5. Step 5: Solve for x
    x = 257,673,414,283.22/501,084.70
  6. Step 6: Final answer
    x = 514,231.26

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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.