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Finding the Fourth Proportional to 299,722.56, 413,675.04 and 192,428.16

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Solution

The fourth proportional to 299,722.56, 413,675.04 and 192,428.16 is: 265,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,722.56 : 413,675.04 = 192,428.16 : x
  2. Step 2: Convert to fraction form
    299,722.56/413,675.04 = 192,428.16/x
  3. Step 3: Cross multiply
    299,722.56x = 413,675.04 × 192,428.16
  4. Step 4: Simplify right side
    299,722.56x = 79,602,726,785.13
  5. Step 5: Solve for x
    x = 79,602,726,785.13/299,722.56
  6. Step 6: Final answer
    x = 265,588.04

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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.