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Finding the Fourth Proportional to 413,708.70, 620,563.05 and 369,093.90

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Solution

The fourth proportional to 413,708.70, 620,563.05 and 369,093.90 is: 553,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,708.70 : 620,563.05 = 369,093.90 : x
  2. Step 2: Convert to fraction form
    413,708.70/620,563.05 = 369,093.90/x
  3. Step 3: Cross multiply
    413,708.70x = 620,563.05 × 369,093.90
  4. Step 4: Simplify right side
    413,708.70x = 229,046,036,320.40
  5. Step 5: Solve for x
    x = 229,046,036,320.40/413,708.70
  6. Step 6: Final answer
    x = 553,640.85

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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.