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Finding the Fourth Proportional to 412,830.45, 576,781.65 and 412,830.45

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Solution

The fourth proportional to 412,830.45, 576,781.65 and 412,830.45 is: 576,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,830.45 : 576,781.65 = 412,830.45 : x
  2. Step 2: Convert to fraction form
    412,830.45/576,781.65 = 412,830.45/x
  3. Step 3: Cross multiply
    412,830.45x = 576,781.65 × 412,830.45
  4. Step 4: Simplify right side
    412,830.45x = 238,113,028,121.24
  5. Step 5: Solve for x
    x = 238,113,028,121.24/412,830.45
  6. Step 6: Final answer
    x = 576,781.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.