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Finding the Fourth Proportional to 312,307.10, 431,710.16 and 278,649.17

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Solution

The fourth proportional to 312,307.10, 431,710.16 and 278,649.17 is: 385,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307.10 : 431,710.16 = 278,649.17 : x
  2. Step 2: Convert to fraction form
    312,307.10/431,710.16 = 278,649.17/x
  3. Step 3: Cross multiply
    312,307.10x = 431,710.16 × 278,649.17
  4. Step 4: Simplify right side
    312,307.10x = 120,295,674,212.77
  5. Step 5: Solve for x
    x = 120,295,674,212.77/312,307.10
  6. Step 6: Final answer
    x = 385,183.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.