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Finding the Fourth Proportional to 706,285.21, 974,701.89 and 383,994.31

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Solution

The fourth proportional to 706,285.21, 974,701.89 and 383,994.31 is: 529,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,285.21 : 974,701.89 = 383,994.31 : x
  2. Step 2: Convert to fraction form
    706,285.21/974,701.89 = 383,994.31/x
  3. Step 3: Cross multiply
    706,285.21x = 974,701.89 × 383,994.31
  4. Step 4: Simplify right side
    706,285.21x = 374,279,979,706.25
  5. Step 5: Solve for x
    x = 374,279,979,706.25/706,285.21
  6. Step 6: Final answer
    x = 529,927.53

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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.