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Finding the Fourth Proportional to 282,782, 390,241.56 and 155,454.80

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Solution

The fourth proportional to 282,782, 390,241.56 and 155,454.80 is: 214,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,782 : 390,241.56 = 155,454.80 : x
  2. Step 2: Convert to fraction form
    282,782/390,241.56 = 155,454.80/x
  3. Step 3: Cross multiply
    282,782x = 390,241.56 × 155,454.80
  4. Step 4: Simplify right side
    282,782x = 60,664,923,661.49
  5. Step 5: Solve for x
    x = 60,664,923,661.49/282,782
  6. Step 6: Final answer
    x = 214,528.94

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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.