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Finding the Fourth Proportional to 551,683.60, 827,525.40 and 327,734.80

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Solution

The fourth proportional to 551,683.60, 827,525.40 and 327,734.80 is: 491,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,683.60 : 827,525.40 = 327,734.80 : x
  2. Step 2: Convert to fraction form
    551,683.60/827,525.40 = 327,734.80/x
  3. Step 3: Cross multiply
    551,683.60x = 827,525.40 × 327,734.80
  4. Step 4: Simplify right side
    551,683.60x = 271,208,871,463.92
  5. Step 5: Solve for x
    x = 271,208,871,463.92/551,683.60
  6. Step 6: Final answer
    x = 491,602.20

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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.