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Finding the Fourth Proportional to 525,406.50, 725,061.78 and 299,052

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Solution

The fourth proportional to 525,406.50, 725,061.78 and 299,052 is: 412,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,406.50 : 725,061.78 = 299,052 : x
  2. Step 2: Convert to fraction form
    525,406.50/725,061.78 = 299,052/x
  3. Step 3: Cross multiply
    525,406.50x = 725,061.78 × 299,052
  4. Step 4: Simplify right side
    525,406.50x = 216,831,175,432.56
  5. Step 5: Solve for x
    x = 216,831,175,432.56/525,406.50
  6. Step 6: Final answer
    x = 412,692.22

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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.