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Finding the Fourth Proportional to 339,580.40, 509,370.60 and 310,031.60

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Solution

The fourth proportional to 339,580.40, 509,370.60 and 310,031.60 is: 465,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,580.40 : 509,370.60 = 310,031.60 : x
  2. Step 2: Convert to fraction form
    339,580.40/509,370.60 = 310,031.60/x
  3. Step 3: Cross multiply
    339,580.40x = 509,370.60 × 310,031.60
  4. Step 4: Simplify right side
    339,580.40x = 157,920,982,110.96
  5. Step 5: Solve for x
    x = 157,920,982,110.96/339,580.40
  6. Step 6: Final answer
    x = 465,047.40

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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.