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Finding the Fourth Proportional to 232,312.30, 320,610.30 and 128,956.22

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Solution

The fourth proportional to 232,312.30, 320,610.30 and 128,956.22 is: 177,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,312.30 : 320,610.30 = 128,956.22 : x
  2. Step 2: Convert to fraction form
    232,312.30/320,610.30 = 128,956.22/x
  3. Step 3: Cross multiply
    232,312.30x = 320,610.30 × 128,956.22
  4. Step 4: Simplify right side
    232,312.30x = 41,344,692,137.05
  5. Step 5: Solve for x
    x = 41,344,692,137.05/232,312.30
  6. Step 6: Final answer
    x = 177,970.31

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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.