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Finding the Fourth Proportional to 205,854.70, 308,782.05 and 203,886.40

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Solution

The fourth proportional to 205,854.70, 308,782.05 and 203,886.40 is: 305,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,854.70 : 308,782.05 = 203,886.40 : x
  2. Step 2: Convert to fraction form
    205,854.70/308,782.05 = 203,886.40/x
  3. Step 3: Cross multiply
    205,854.70x = 308,782.05 × 203,886.40
  4. Step 4: Simplify right side
    205,854.70x = 62,956,460,559.12
  5. Step 5: Solve for x
    x = 62,956,460,559.12/205,854.70
  6. Step 6: Final answer
    x = 305,829.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.