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Finding the Fourth Proportional to 296,788.40, 409,709.84 and 169,439.40

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Solution

The fourth proportional to 296,788.40, 409,709.84 and 169,439.40 is: 233,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,788.40 : 409,709.84 = 169,439.40 : x
  2. Step 2: Convert to fraction form
    296,788.40/409,709.84 = 169,439.40/x
  3. Step 3: Cross multiply
    296,788.40x = 409,709.84 × 169,439.40
  4. Step 4: Simplify right side
    296,788.40x = 69,420,989,463.70
  5. Step 5: Solve for x
    x = 69,420,989,463.70/296,788.40
  6. Step 6: Final answer
    x = 233,907.35

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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.