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Finding the Fourth Proportional to 385,731.20, 578,683.20 and 149,052.80

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Solution

The fourth proportional to 385,731.20, 578,683.20 and 149,052.80 is: 223,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,731.20 : 578,683.20 = 149,052.80 : x
  2. Step 2: Convert to fraction form
    385,731.20/578,683.20 = 149,052.80/x
  3. Step 3: Cross multiply
    385,731.20x = 578,683.20 × 149,052.80
  4. Step 4: Simplify right side
    385,731.20x = 86,254,351,272.96
  5. Step 5: Solve for x
    x = 86,254,351,272.96/385,731.20
  6. Step 6: Final answer
    x = 223,612.59

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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.