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Finding the Fourth Proportional to 288,754.73, 398,482.41 and 161,430.32

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Solution

The fourth proportional to 288,754.73, 398,482.41 and 161,430.32 is: 222,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,754.73 : 398,482.41 = 161,430.32 : x
  2. Step 2: Convert to fraction form
    288,754.73/398,482.41 = 161,430.32/x
  3. Step 3: Cross multiply
    288,754.73x = 398,482.41 × 161,430.32
  4. Step 4: Simplify right side
    288,754.73x = 64,327,142,960.67
  5. Step 5: Solve for x
    x = 64,327,142,960.67/288,754.73
  6. Step 6: Final answer
    x = 222,774.34

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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.