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Finding the Fourth Proportional to 414,012.77, 620,385.40 and 278,575.25

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Solution

The fourth proportional to 414,012.77, 620,385.40 and 278,575.25 is: 417,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,012.77 : 620,385.40 = 278,575.25 : x
  2. Step 2: Convert to fraction form
    414,012.77/620,385.40 = 278,575.25/x
  3. Step 3: Cross multiply
    414,012.77x = 620,385.40 × 278,575.25
  4. Step 4: Simplify right side
    414,012.77x = 172,824,013,406.55
  5. Step 5: Solve for x
    x = 172,824,013,406.55/414,012.77
  6. Step 6: Final answer
    x = 417,436.44

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1.5x scale

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.