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Finding the Fourth Proportional to 412,920.45, 576,907.65 and 412,920.45

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Solution

The fourth proportional to 412,920.45, 576,907.65 and 412,920.45 is: 576,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920.45 : 576,907.65 = 412,920.45 : x
  2. Step 2: Convert to fraction form
    412,920.45/576,907.65 = 412,920.45/x
  3. Step 3: Cross multiply
    412,920.45x = 576,907.65 × 412,920.45
  4. Step 4: Simplify right side
    412,920.45x = 238,216,966,446.44
  5. Step 5: Solve for x
    x = 238,216,966,446.44/412,920.45
  6. Step 6: Final answer
    x = 576,907.65

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1.5x scale

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.