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Finding the Fourth Proportional to 675,175.96, 931,705.12 and 369,191.64

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Solution

The fourth proportional to 675,175.96, 931,705.12 and 369,191.64 is: 509,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,175.96 : 931,705.12 = 369,191.64 : x
  2. Step 2: Convert to fraction form
    675,175.96/931,705.12 = 369,191.64/x
  3. Step 3: Cross multiply
    675,175.96x = 931,705.12 × 369,191.64
  4. Step 4: Simplify right side
    675,175.96x = 343,977,741,249.20
  5. Step 5: Solve for x
    x = 343,977,741,249.20/675,175.96
  6. Step 6: Final answer
    x = 509,463.85

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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.