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Finding the Fourth Proportional to 296,639.93, 409,250.10 and 219,301.28

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Solution

The fourth proportional to 296,639.93, 409,250.10 and 219,301.28 is: 302,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,639.93 : 409,250.10 = 219,301.28 : x
  2. Step 2: Convert to fraction form
    296,639.93/409,250.10 = 219,301.28/x
  3. Step 3: Cross multiply
    296,639.93x = 409,250.10 × 219,301.28
  4. Step 4: Simplify right side
    296,639.93x = 89,749,068,723.88
  5. Step 5: Solve for x
    x = 89,749,068,723.88/296,639.93
  6. Step 6: Final answer
    x = 302,552.22

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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.