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Finding the Fourth Proportional to 209,643.96, 289,488.48 and 202,865.40

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Solution

The fourth proportional to 209,643.96, 289,488.48 and 202,865.40 is: 280,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,643.96 : 289,488.48 = 202,865.40 : x
  2. Step 2: Convert to fraction form
    209,643.96/289,488.48 = 202,865.40/x
  3. Step 3: Cross multiply
    209,643.96x = 289,488.48 × 202,865.40
  4. Step 4: Simplify right side
    209,643.96x = 58,727,196,290.59
  5. Step 5: Solve for x
    x = 58,727,196,290.59/209,643.96
  6. Step 6: Final answer
    x = 280,128.25

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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.