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Finding the Fourth Proportional to 390,055.40, 585,102.30 and 203,431.40

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Solution

The fourth proportional to 390,055.40, 585,102.30 and 203,431.40 is: 305,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,055.40 : 585,102.30 = 203,431.40 : x
  2. Step 2: Convert to fraction form
    390,055.40/585,102.30 = 203,431.40/x
  3. Step 3: Cross multiply
    390,055.40x = 585,102.30 × 203,431.40
  4. Step 4: Simplify right side
    390,055.40x = 119,028,180,032.22
  5. Step 5: Solve for x
    x = 119,028,180,032.22/390,055.40
  6. Step 6: Final answer
    x = 305,157.11

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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.