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Finding the Fourth Proportional to 431,870.59, 595,979.74 and 238,290.36

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Solution

The fourth proportional to 431,870.59, 595,979.74 and 238,290.36 is: 328,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,870.59 : 595,979.74 = 238,290.36 : x
  2. Step 2: Convert to fraction form
    431,870.59/595,979.74 = 238,290.36/x
  3. Step 3: Cross multiply
    431,870.59x = 595,979.74 × 238,290.36
  4. Step 4: Simplify right side
    431,870.59x = 142,016,224,860.25
  5. Step 5: Solve for x
    x = 142,016,224,860.25/431,870.59
  6. Step 6: Final answer
    x = 328,839.77

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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.