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Finding the Fourth Proportional to 413,834.20, 620,751.30 and 369,219.40

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Solution

The fourth proportional to 413,834.20, 620,751.30 and 369,219.40 is: 553,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,834.20 : 620,751.30 = 369,219.40 : x
  2. Step 2: Convert to fraction form
    413,834.20/620,751.30 = 369,219.40/x
  3. Step 3: Cross multiply
    413,834.20x = 620,751.30 × 369,219.40
  4. Step 4: Simplify right side
    413,834.20x = 229,193,422,535.22
  5. Step 5: Solve for x
    x = 229,193,422,535.22/413,834.20
  6. Step 6: Final answer
    x = 553,829.10

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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.