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Finding the Fourth Proportional to 280,436.83, 420,710.69 and 102,945.38

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Solution

The fourth proportional to 280,436.83, 420,710.69 and 102,945.38 is: 154,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,436.83 : 420,710.69 = 102,945.38 : x
  2. Step 2: Convert to fraction form
    280,436.83/420,710.69 = 102,945.38/x
  3. Step 3: Cross multiply
    280,436.83x = 420,710.69 × 102,945.38
  4. Step 4: Simplify right side
    280,436.83x = 43,310,220,005.92
  5. Step 5: Solve for x
    x = 43,310,220,005.92/280,436.83
  6. Step 6: Final answer
    x = 154,438.42

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1.5x scale

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.