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Finding the Fourth Proportional to 422,980.16, 583,728.96 and 232,001.60

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Solution

The fourth proportional to 422,980.16, 583,728.96 and 232,001.60 is: 320,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,980.16 : 583,728.96 = 232,001.60 : x
  2. Step 2: Convert to fraction form
    422,980.16/583,728.96 = 232,001.60/x
  3. Step 3: Cross multiply
    422,980.16x = 583,728.96 × 232,001.60
  4. Step 4: Simplify right side
    422,980.16x = 135,426,052,686.34
  5. Step 5: Solve for x
    x = 135,426,052,686.34/422,980.16
  6. Step 6: Final answer
    x = 320,171.17

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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.