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Finding the Fourth Proportional to 706,709.88, 975,249.36 and 384,422.58

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Solution

The fourth proportional to 706,709.88, 975,249.36 and 384,422.58 is: 530,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,709.88 : 975,249.36 = 384,422.58 : x
  2. Step 2: Convert to fraction form
    706,709.88/975,249.36 = 384,422.58/x
  3. Step 3: Cross multiply
    706,709.88x = 975,249.36 × 384,422.58
  4. Step 4: Simplify right side
    706,709.88x = 374,907,875,114.55
  5. Step 5: Solve for x
    x = 374,907,875,114.55/706,709.88
  6. Step 6: Final answer
    x = 530,497.57

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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.