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Finding the Fourth Proportional to 402,483.21, 603,745.49 and 102,966.38

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Solution

The fourth proportional to 402,483.21, 603,745.49 and 102,966.38 is: 154,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,483.21 : 603,745.49 = 102,966.38 : x
  2. Step 2: Convert to fraction form
    402,483.21/603,745.49 = 102,966.38/x
  3. Step 3: Cross multiply
    402,483.21x = 603,745.49 × 102,966.38
  4. Step 4: Simplify right side
    402,483.21x = 62,165,484,013.07
  5. Step 5: Solve for x
    x = 62,165,484,013.07/402,483.21
  6. Step 6: Final answer
    x = 154,454.85

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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.