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Finding the Fourth Proportional to 507,783.64, 762,132.30 and 271,328.44

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Solution

The fourth proportional to 507,783.64, 762,132.30 and 271,328.44 is: 407,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,783.64 : 762,132.30 = 271,328.44 : x
  2. Step 2: Convert to fraction form
    507,783.64/762,132.30 = 271,328.44/x
  3. Step 3: Cross multiply
    507,783.64x = 762,132.30 × 271,328.44
  4. Step 4: Simplify right side
    507,783.64x = 206,788,168,032.61
  5. Step 5: Solve for x
    x = 206,788,168,032.61/507,783.64
  6. Step 6: Final answer
    x = 407,236.77

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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.