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Finding the Fourth Proportional to 427,420.32, 641,188.80 and 178,044

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Solution

The fourth proportional to 427,420.32, 641,188.80 and 178,044 is: 267,090.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,420.32 : 641,188.80 = 178,044 : x
  2. Step 2: Convert to fraction form
    427,420.32/641,188.80 = 178,044/x
  3. Step 3: Cross multiply
    427,420.32x = 641,188.80 × 178,044
  4. Step 4: Simplify right side
    427,420.32x = 114,159,818,707.20
  5. Step 5: Solve for x
    x = 114,159,818,707.20/427,420.32
  6. Step 6: Final answer
    x = 267,090.29

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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.