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Finding the Fourth Proportional to 232,357.40, 320,857.69 and 145,291.72

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Solution

The fourth proportional to 232,357.40, 320,857.69 and 145,291.72 is: 200,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,357.40 : 320,857.69 = 145,291.72 : x
  2. Step 2: Convert to fraction form
    232,357.40/320,857.69 = 145,291.72/x
  3. Step 3: Cross multiply
    232,357.40x = 320,857.69 × 145,291.72
  4. Step 4: Simplify right side
    232,357.40x = 46,617,964,051.04
  5. Step 5: Solve for x
    x = 46,617,964,051.04/232,357.40
  6. Step 6: Final answer
    x = 200,630.43

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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.