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Finding the Fourth Proportional to 282,617.84, 390,022.20 and 155,298

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Solution

The fourth proportional to 282,617.84, 390,022.20 and 155,298 is: 214,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,617.84 : 390,022.20 = 155,298 : x
  2. Step 2: Convert to fraction form
    282,617.84/390,022.20 = 155,298/x
  3. Step 3: Cross multiply
    282,617.84x = 390,022.20 × 155,298
  4. Step 4: Simplify right side
    282,617.84x = 60,569,667,615.60
  5. Step 5: Solve for x
    x = 60,569,667,615.60/282,617.84
  6. Step 6: Final answer
    x = 214,316.50

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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.