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Finding the Fourth Proportional to 419,172.51, 578,537.79 and 237,901.41

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Solution

The fourth proportional to 419,172.51, 578,537.79 and 237,901.41 is: 328,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,172.51 : 578,537.79 = 237,901.41 : x
  2. Step 2: Convert to fraction form
    419,172.51/578,537.79 = 237,901.41/x
  3. Step 3: Cross multiply
    419,172.51x = 578,537.79 × 237,901.41
  4. Step 4: Simplify right side
    419,172.51x = 137,634,955,979.28
  5. Step 5: Solve for x
    x = 137,634,955,979.28/419,172.51
  6. Step 6: Final answer
    x = 328,349.19

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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.