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Finding the Fourth Proportional to 425,215.17, 637,735.14 and 188,406.81

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Solution

The fourth proportional to 425,215.17, 637,735.14 and 188,406.81 is: 282,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,215.17 : 637,735.14 = 188,406.81 : x
  2. Step 2: Convert to fraction form
    425,215.17/637,735.14 = 188,406.81/x
  3. Step 3: Cross multiply
    425,215.17x = 637,735.14 × 188,406.81
  4. Step 4: Simplify right side
    425,215.17x = 120,153,643,352.30
  5. Step 5: Solve for x
    x = 120,153,643,352.30/425,215.17
  6. Step 6: Final answer
    x = 282,571.39

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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.