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Finding the Fourth Proportional to 390,833.84, 586,162.20 and 198,513.32

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Solution

The fourth proportional to 390,833.84, 586,162.20 and 198,513.32 is: 297,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,833.84 : 586,162.20 = 198,513.32 : x
  2. Step 2: Convert to fraction form
    390,833.84/586,162.20 = 198,513.32/x
  3. Step 3: Cross multiply
    390,833.84x = 586,162.20 × 198,513.32
  4. Step 4: Simplify right side
    390,833.84x = 116,361,002,194.12
  5. Step 5: Solve for x
    x = 116,361,002,194.12/390,833.84
  6. Step 6: Final answer
    x = 297,724.99

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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.