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Finding the Fourth Proportional to 299,638.40, 413,559.12 and 192,344.16

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Solution

The fourth proportional to 299,638.40, 413,559.12 and 192,344.16 is: 265,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,638.40 : 413,559.12 = 192,344.16 : x
  2. Step 2: Convert to fraction form
    299,638.40/413,559.12 = 192,344.16/x
  3. Step 3: Cross multiply
    299,638.40x = 413,559.12 × 192,344.16
  4. Step 4: Simplify right side
    299,638.40x = 79,545,681,546.74
  5. Step 5: Solve for x
    x = 79,545,681,546.74/299,638.40
  6. Step 6: Final answer
    x = 265,472.25

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1.5x scale

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.