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Finding the Fourth Proportional to 382,335.40, 573,503.10 and 289,023.40

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Solution

The fourth proportional to 382,335.40, 573,503.10 and 289,023.40 is: 433,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,335.40 : 573,503.10 = 289,023.40 : x
  2. Step 2: Convert to fraction form
    382,335.40/573,503.10 = 289,023.40/x
  3. Step 3: Cross multiply
    382,335.40x = 573,503.10 × 289,023.40
  4. Step 4: Simplify right side
    382,335.40x = 165,755,815,872.54
  5. Step 5: Solve for x
    x = 165,755,815,872.54/382,335.40
  6. Step 6: Final answer
    x = 433,535.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.