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Finding the Fourth Proportional to 525,969.28, 725,888.40 and 311,178.40

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Solution

The fourth proportional to 525,969.28, 725,888.40 and 311,178.40 is: 429,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,969.28 : 725,888.40 = 311,178.40 : x
  2. Step 2: Convert to fraction form
    525,969.28/725,888.40 = 311,178.40/x
  3. Step 3: Cross multiply
    525,969.28x = 725,888.40 × 311,178.40
  4. Step 4: Simplify right side
    525,969.28x = 225,880,790,890.56
  5. Step 5: Solve for x
    x = 225,880,790,890.56/525,969.28
  6. Step 6: Final answer
    x = 429,456.24

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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.