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Finding the Fourth Proportional to 310,129.92, 427,978.08 and 174,144.96

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Solution

The fourth proportional to 310,129.92, 427,978.08 and 174,144.96 is: 240,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,129.92 : 427,978.08 = 174,144.96 : x
  2. Step 2: Convert to fraction form
    310,129.92/427,978.08 = 174,144.96/x
  3. Step 3: Cross multiply
    310,129.92x = 427,978.08 × 174,144.96
  4. Step 4: Simplify right side
    310,129.92x = 74,530,225,622.48
  5. Step 5: Solve for x
    x = 74,530,225,622.48/310,129.92
  6. Step 6: Final answer
    x = 240,319.37

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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.