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Finding the Fourth Proportional to 684,854.49, 945,100.20 and 378,943.77

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Solution

The fourth proportional to 684,854.49, 945,100.20 and 378,943.77 is: 522,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,854.49 : 945,100.20 = 378,943.77 : x
  2. Step 2: Convert to fraction form
    684,854.49/945,100.20 = 378,943.77/x
  3. Step 3: Cross multiply
    684,854.49x = 945,100.20 × 378,943.77
  4. Step 4: Simplify right side
    684,854.49x = 358,139,832,464.73
  5. Step 5: Solve for x
    x = 358,139,832,464.73/684,854.49
  6. Step 6: Final answer
    x = 522,942.95

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Double scale
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1.5x scale

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.