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Finding the Fourth Proportional to 330,590.96, 495,689.34 and 130,940

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Solution

The fourth proportional to 330,590.96, 495,689.34 and 130,940 is: 196,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,590.96 : 495,689.34 = 130,940 : x
  2. Step 2: Convert to fraction form
    330,590.96/495,689.34 = 130,940/x
  3. Step 3: Cross multiply
    330,590.96x = 495,689.34 × 130,940
  4. Step 4: Simplify right side
    330,590.96x = 64,905,562,179.60
  5. Step 5: Solve for x
    x = 64,905,562,179.60/330,590.96
  6. Step 6: Final answer
    x = 196,331.93

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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.