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Finding the Fourth Proportional to 310,086.40, 427,913.76 and 174,121.44

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Solution

The fourth proportional to 310,086.40, 427,913.76 and 174,121.44 is: 240,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,086.40 : 427,913.76 = 174,121.44 : x
  2. Step 2: Convert to fraction form
    310,086.40/427,913.76 = 174,121.44/x
  3. Step 3: Cross multiply
    310,086.40x = 427,913.76 × 174,121.44
  4. Step 4: Simplify right side
    310,086.40x = 74,508,960,087.01
  5. Step 5: Solve for x
    x = 74,508,960,087.01/310,086.40
  6. Step 6: Final answer
    x = 240,284.51

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1.5x scale

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.