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Finding the Fourth Proportional to 431,870.75, 595,979.95 and 238,290.50

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Solution

The fourth proportional to 431,870.75, 595,979.95 and 238,290.50 is: 328,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,870.75 : 595,979.95 = 238,290.50 : x
  2. Step 2: Convert to fraction form
    431,870.75/595,979.95 = 238,290.50/x
  3. Step 3: Cross multiply
    431,870.75x = 595,979.95 × 238,290.50
  4. Step 4: Simplify right side
    431,870.75x = 142,016,360,275.48
  5. Step 5: Solve for x
    x = 142,016,360,275.48/431,870.75
  6. Step 6: Final answer
    x = 328,839.96

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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.