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Finding the Fourth Proportional to 390,076.40, 585,114.60 and 327,090.80

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Solution

The fourth proportional to 390,076.40, 585,114.60 and 327,090.80 is: 490,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,076.40 : 585,114.60 = 327,090.80 : x
  2. Step 2: Convert to fraction form
    390,076.40/585,114.60 = 327,090.80/x
  3. Step 3: Cross multiply
    390,076.40x = 585,114.60 × 327,090.80
  4. Step 4: Simplify right side
    390,076.40x = 191,385,602,605.68
  5. Step 5: Solve for x
    x = 191,385,602,605.68/390,076.40
  6. Step 6: Final answer
    x = 490,636.20

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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.