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Finding the Fourth Proportional to 390,774.24, 585,986.40 and 138,002.40

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Solution

The fourth proportional to 390,774.24, 585,986.40 and 138,002.40 is: 206,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,774.24 : 585,986.40 = 138,002.40 : x
  2. Step 2: Convert to fraction form
    390,774.24/585,986.40 = 138,002.40/x
  3. Step 3: Cross multiply
    390,774.24x = 585,986.40 × 138,002.40
  4. Step 4: Simplify right side
    390,774.24x = 80,867,529,567.36
  5. Step 5: Solve for x
    x = 80,867,529,567.36/390,774.24
  6. Step 6: Final answer
    x = 206,941.81

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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.