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Finding the Fourth Proportional to 288,965.70, 435,614.31 and 269,698.50

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Solution

The fourth proportional to 288,965.70, 435,614.31 and 269,698.50 is: 406,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,965.70 : 435,614.31 = 269,698.50 : x
  2. Step 2: Convert to fraction form
    288,965.70/435,614.31 = 269,698.50/x
  3. Step 3: Cross multiply
    288,965.70x = 435,614.31 × 269,698.50
  4. Step 4: Simplify right side
    288,965.70x = 117,484,525,985.54
  5. Step 5: Solve for x
    x = 117,484,525,985.54/288,965.70
  6. Step 6: Final answer
    x = 406,569.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.