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Finding the Fourth Proportional to 455,519.20, 683,278.80 and 431,024.80

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Solution

The fourth proportional to 455,519.20, 683,278.80 and 431,024.80 is: 646,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,519.20 : 683,278.80 = 431,024.80 : x
  2. Step 2: Convert to fraction form
    455,519.20/683,278.80 = 431,024.80/x
  3. Step 3: Cross multiply
    455,519.20x = 683,278.80 × 431,024.80
  4. Step 4: Simplify right side
    455,519.20x = 294,510,108,114.24
  5. Step 5: Solve for x
    x = 294,510,108,114.24/455,519.20
  6. Step 6: Final answer
    x = 646,537.20

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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.