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Finding the Fourth Proportional to 310,221.36, 428,103.93 and 174,257.40

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Solution

The fourth proportional to 310,221.36, 428,103.93 and 174,257.40 is: 240,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,221.36 : 428,103.93 = 174,257.40 : x
  2. Step 2: Convert to fraction form
    310,221.36/428,103.93 = 174,257.40/x
  3. Step 3: Cross multiply
    310,221.36x = 428,103.93 × 174,257.40
  4. Step 4: Simplify right side
    310,221.36x = 74,600,277,771.58
  5. Step 5: Solve for x
    x = 74,600,277,771.58/310,221.36
  6. Step 6: Final answer
    x = 240,474.34

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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.