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Finding the Fourth Proportional to 530,414.46, 731,987.46 and 288,712.62

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Solution

The fourth proportional to 530,414.46, 731,987.46 and 288,712.62 is: 398,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,414.46 : 731,987.46 = 288,712.62 : x
  2. Step 2: Convert to fraction form
    530,414.46/731,987.46 = 288,712.62/x
  3. Step 3: Cross multiply
    530,414.46x = 731,987.46 × 288,712.62
  4. Step 4: Simplify right side
    530,414.46x = 211,334,017,383.75
  5. Step 5: Solve for x
    x = 211,334,017,383.75/530,414.46
  6. Step 6: Final answer
    x = 398,431.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.