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Finding the Fourth Proportional to 205,978.70, 288,784.90 and 205,978.70

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Solution

The fourth proportional to 205,978.70, 288,784.90 and 205,978.70 is: 288,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,978.70 : 288,784.90 = 205,978.70 : x
  2. Step 2: Convert to fraction form
    205,978.70/288,784.90 = 205,978.70/x
  3. Step 3: Cross multiply
    205,978.70x = 288,784.90 × 205,978.70
  4. Step 4: Simplify right side
    205,978.70x = 59,483,538,281.63
  5. Step 5: Solve for x
    x = 59,483,538,281.63/205,978.70
  6. Step 6: Final answer
    x = 288,784.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.