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Finding the Fourth Proportional to 702,619.50, 969,746.27 and 400,813.50

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Solution

The fourth proportional to 702,619.50, 969,746.27 and 400,813.50 is: 553,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,619.50 : 969,746.27 = 400,813.50 : x
  2. Step 2: Convert to fraction form
    702,619.50/969,746.27 = 400,813.50/x
  3. Step 3: Cross multiply
    702,619.50x = 969,746.27 × 400,813.50
  4. Step 4: Simplify right side
    702,619.50x = 388,687,394,586.58
  5. Step 5: Solve for x
    x = 388,687,394,586.58/702,619.50
  6. Step 6: Final answer
    x = 553,197.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.