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Finding the Fourth Proportional to 419,810.96, 579,339.29 and 238,523.13

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Solution

The fourth proportional to 419,810.96, 579,339.29 and 238,523.13 is: 329,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,810.96 : 579,339.29 = 238,523.13 : x
  2. Step 2: Convert to fraction form
    419,810.96/579,339.29 = 238,523.13/x
  3. Step 3: Cross multiply
    419,810.96x = 579,339.29 × 238,523.13
  4. Step 4: Simplify right side
    419,810.96x = 138,185,820,782.78
  5. Step 5: Solve for x
    x = 138,185,820,782.78/419,810.96
  6. Step 6: Final answer
    x = 329,162.01

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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.