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Finding the Fourth Proportional to 407,830.80, 611,746.20 and 281,859.60

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Solution

The fourth proportional to 407,830.80, 611,746.20 and 281,859.60 is: 422,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,830.80 : 611,746.20 = 281,859.60 : x
  2. Step 2: Convert to fraction form
    407,830.80/611,746.20 = 281,859.60/x
  3. Step 3: Cross multiply
    407,830.80x = 611,746.20 × 281,859.60
  4. Step 4: Simplify right side
    407,830.80x = 172,426,539,233.52
  5. Step 5: Solve for x
    x = 172,426,539,233.52/407,830.80
  6. Step 6: Final answer
    x = 422,789.40

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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.