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Finding the Fourth Proportional to 329,702.80, 493,370.52 and 285,480.40

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Solution

The fourth proportional to 329,702.80, 493,370.52 and 285,480.40 is: 427,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,702.80 : 493,370.52 = 285,480.40 : x
  2. Step 2: Convert to fraction form
    329,702.80/493,370.52 = 285,480.40/x
  3. Step 3: Cross multiply
    329,702.80x = 493,370.52 × 285,480.40
  4. Step 4: Simplify right side
    329,702.80x = 140,847,613,397.81
  5. Step 5: Solve for x
    x = 140,847,613,397.81/329,702.80
  6. Step 6: Final answer
    x = 427,195.68

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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.