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Finding the Fourth Proportional to 350,438.40, 525,787.20 and 140,227.20

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Solution

The fourth proportional to 350,438.40, 525,787.20 and 140,227.20 is: 210,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,438.40 : 525,787.20 = 140,227.20 : x
  2. Step 2: Convert to fraction form
    350,438.40/525,787.20 = 140,227.20/x
  3. Step 3: Cross multiply
    350,438.40x = 525,787.20 × 140,227.20
  4. Step 4: Simplify right side
    350,438.40x = 73,729,666,851.84
  5. Step 5: Solve for x
    x = 73,729,666,851.84/350,438.40
  6. Step 6: Final answer
    x = 210,392.66

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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.