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Finding the Fourth Proportional to 232,215.20, 348,322.80 and 138,903.20

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Solution

The fourth proportional to 232,215.20, 348,322.80 and 138,903.20 is: 208,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,215.20 : 348,322.80 = 138,903.20 : x
  2. Step 2: Convert to fraction form
    232,215.20/348,322.80 = 138,903.20/x
  3. Step 3: Cross multiply
    232,215.20x = 348,322.80 × 138,903.20
  4. Step 4: Simplify right side
    232,215.20x = 48,383,151,552.96
  5. Step 5: Solve for x
    x = 48,383,151,552.96/232,215.20
  6. Step 6: Final answer
    x = 208,354.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.