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Finding the Fourth Proportional to 610,665.69, 842,732.16 and 338,724.73

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Solution

The fourth proportional to 610,665.69, 842,732.16 and 338,724.73 is: 467,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,665.69 : 842,732.16 = 338,724.73 : x
  2. Step 2: Convert to fraction form
    610,665.69/842,732.16 = 338,724.73/x
  3. Step 3: Cross multiply
    610,665.69x = 842,732.16 × 338,724.73
  4. Step 4: Simplify right side
    610,665.69x = 285,454,223,358.32
  5. Step 5: Solve for x
    x = 285,454,223,358.32/610,665.69
  6. Step 6: Final answer
    x = 467,447.62

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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.