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Finding the Fourth Proportional to 282,940.84, 390,443.88 and 155,591.92

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Solution

The fourth proportional to 282,940.84, 390,443.88 and 155,591.92 is: 214,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,940.84 : 390,443.88 = 155,591.92 : x
  2. Step 2: Convert to fraction form
    282,940.84/390,443.88 = 155,591.92/x
  3. Step 3: Cross multiply
    282,940.84x = 390,443.88 × 155,591.92
  4. Step 4: Simplify right side
    282,940.84x = 60,749,912,941.45
  5. Step 5: Solve for x
    x = 60,749,912,941.45/282,940.84
  6. Step 6: Final answer
    x = 214,708.89

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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.