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Finding the Fourth Proportional to 390,836.84, 586,166.70 and 198,516.32

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Solution

The fourth proportional to 390,836.84, 586,166.70 and 198,516.32 is: 297,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,836.84 : 586,166.70 = 198,516.32 : x
  2. Step 2: Convert to fraction form
    390,836.84/586,166.70 = 198,516.32/x
  3. Step 3: Cross multiply
    390,836.84x = 586,166.70 × 198,516.32
  4. Step 4: Simplify right side
    390,836.84x = 116,363,656,190.54
  5. Step 5: Solve for x
    x = 116,363,656,190.54/390,836.84
  6. Step 6: Final answer
    x = 297,729.50

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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.