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Finding the Fourth Proportional to 296,784.40, 409,704.32 and 169,435.40

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Solution

The fourth proportional to 296,784.40, 409,704.32 and 169,435.40 is: 233,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,784.40 : 409,704.32 = 169,435.40 : x
  2. Step 2: Convert to fraction form
    296,784.40/409,704.32 = 169,435.40/x
  3. Step 3: Cross multiply
    296,784.40x = 409,704.32 × 169,435.40
  4. Step 4: Simplify right side
    296,784.40x = 69,418,415,340.93
  5. Step 5: Solve for x
    x = 69,418,415,340.93/296,784.40
  6. Step 6: Final answer
    x = 233,901.83

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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.