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Finding the Fourth Proportional to 282,062.50, 389,257.78 and 162,830.50

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Solution

The fourth proportional to 282,062.50, 389,257.78 and 162,830.50 is: 224,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,062.50 : 389,257.78 = 162,830.50 : x
  2. Step 2: Convert to fraction form
    282,062.50/389,257.78 = 162,830.50/x
  3. Step 3: Cross multiply
    282,062.50x = 389,257.78 × 162,830.50
  4. Step 4: Simplify right side
    282,062.50x = 63,383,038,946.29
  5. Step 5: Solve for x
    x = 63,383,038,946.29/282,062.50
  6. Step 6: Final answer
    x = 224,712.75

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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.