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Finding the Fourth Proportional to 337,910.40, 506,865.60 and 213,801.60

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Solution

The fourth proportional to 337,910.40, 506,865.60 and 213,801.60 is: 320,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,910.40 : 506,865.60 = 213,801.60 : x
  2. Step 2: Convert to fraction form
    337,910.40/506,865.60 = 213,801.60/x
  3. Step 3: Cross multiply
    337,910.40x = 506,865.60 × 213,801.60
  4. Step 4: Simplify right side
    337,910.40x = 108,368,676,264.96
  5. Step 5: Solve for x
    x = 108,368,676,264.96/337,910.40
  6. Step 6: Final answer
    x = 320,702.40

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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.