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Finding the Fourth Proportional to 362,130.30, 543,195.45 and 228,285.90

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Solution

The fourth proportional to 362,130.30, 543,195.45 and 228,285.90 is: 342,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,130.30 : 543,195.45 = 228,285.90 : x
  2. Step 2: Convert to fraction form
    362,130.30/543,195.45 = 228,285.90/x
  3. Step 3: Cross multiply
    362,130.30x = 543,195.45 × 228,285.90
  4. Step 4: Simplify right side
    362,130.30x = 124,003,862,179.16
  5. Step 5: Solve for x
    x = 124,003,862,179.16/362,130.30
  6. Step 6: Final answer
    x = 342,428.85

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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.