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Finding the Fourth Proportional to 358,634, 537,965.82 and 105,914.54

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Solution

The fourth proportional to 358,634, 537,965.82 and 105,914.54 is: 158,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,634 : 537,965.82 = 105,914.54 : x
  2. Step 2: Convert to fraction form
    358,634/537,965.82 = 105,914.54/x
  3. Step 3: Cross multiply
    358,634x = 537,965.82 × 105,914.54
  4. Step 4: Simplify right side
    358,634x = 56,978,402,361.02
  5. Step 5: Solve for x
    x = 56,978,402,361.02/358,634
  6. Step 6: Final answer
    x = 158,876.19

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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.