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Finding the Fourth Proportional to 455,800.47, 683,262.49 and 306,082.50

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Solution

The fourth proportional to 455,800.47, 683,262.49 and 306,082.50 is: 458,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,800.47 : 683,262.49 = 306,082.50 : x
  2. Step 2: Convert to fraction form
    455,800.47/683,262.49 = 306,082.50/x
  3. Step 3: Cross multiply
    455,800.47x = 683,262.49 × 306,082.50
  4. Step 4: Simplify right side
    455,800.47x = 209,134,691,095.43
  5. Step 5: Solve for x
    x = 209,134,691,095.43/455,800.47
  6. Step 6: Final answer
    x = 458,829.48

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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.