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Finding the Fourth Proportional to 419,422.59, 578,829.51 and 238,065.48

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Solution

The fourth proportional to 419,422.59, 578,829.51 and 238,065.48 is: 328,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,422.59 : 578,829.51 = 238,065.48 : x
  2. Step 2: Convert to fraction form
    419,422.59/578,829.51 = 238,065.48/x
  3. Step 3: Cross multiply
    419,422.59x = 578,829.51 × 238,065.48
  4. Step 4: Simplify right side
    419,422.59x = 137,799,325,136.32
  5. Step 5: Solve for x
    x = 137,799,325,136.32/419,422.59
  6. Step 6: Final answer
    x = 328,545.31

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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.