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Finding the Fourth Proportional to 282,996.84, 390,500.19 and 191,315.64

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Solution

The fourth proportional to 282,996.84, 390,500.19 and 191,315.64 is: 263,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,996.84 : 390,500.19 = 191,315.64 : x
  2. Step 2: Convert to fraction form
    282,996.84/390,500.19 = 191,315.64/x
  3. Step 3: Cross multiply
    282,996.84x = 390,500.19 × 191,315.64
  4. Step 4: Simplify right side
    282,996.84x = 74,708,793,769.97
  5. Step 5: Solve for x
    x = 74,708,793,769.97/282,996.84
  6. Step 6: Final answer
    x = 263,991.62

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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.