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Finding the Fourth Proportional to 455,563.80, 683,345.70 and 306,264.60

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Solution

The fourth proportional to 455,563.80, 683,345.70 and 306,264.60 is: 459,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,563.80 : 683,345.70 = 306,264.60 : x
  2. Step 2: Convert to fraction form
    455,563.80/683,345.70 = 306,264.60/x
  3. Step 3: Cross multiply
    455,563.80x = 683,345.70 × 306,264.60
  4. Step 4: Simplify right side
    455,563.80x = 209,284,597,472.22
  5. Step 5: Solve for x
    x = 209,284,597,472.22/455,563.80
  6. Step 6: Final answer
    x = 459,396.90

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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.