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Finding the Fourth Proportional to 273,530.16, 409,950.10 and 138,628.12

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Solution

The fourth proportional to 273,530.16, 409,950.10 and 138,628.12 is: 207,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,530.16 : 409,950.10 = 138,628.12 : x
  2. Step 2: Convert to fraction form
    273,530.16/409,950.10 = 138,628.12/x
  3. Step 3: Cross multiply
    273,530.16x = 409,950.10 × 138,628.12
  4. Step 4: Simplify right side
    273,530.16x = 56,830,611,310.24
  5. Step 5: Solve for x
    x = 56,830,611,310.24/273,530.16
  6. Step 6: Final answer
    x = 207,767.26

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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.