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Finding the Fourth Proportional to 310,571.40, 428,578.61 and 174,611.10

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Solution

The fourth proportional to 310,571.40, 428,578.61 and 174,611.10 is: 240,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,571.40 : 428,578.61 = 174,611.10 : x
  2. Step 2: Convert to fraction form
    310,571.40/428,578.61 = 174,611.10/x
  3. Step 3: Cross multiply
    310,571.40x = 428,578.61 × 174,611.10
  4. Step 4: Simplify right side
    310,571.40x = 74,834,581,655.52
  5. Step 5: Solve for x
    x = 74,834,581,655.52/310,571.40
  6. Step 6: Final answer
    x = 240,957.74

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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.