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Finding the Fourth Proportional to 420,365.50, 580,102.31 and 229,378.30

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Solution

The fourth proportional to 420,365.50, 580,102.31 and 229,378.30 is: 316,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,365.50 : 580,102.31 = 229,378.30 : x
  2. Step 2: Convert to fraction form
    420,365.50/580,102.31 = 229,378.30/x
  3. Step 3: Cross multiply
    420,365.50x = 580,102.31 × 229,378.30
  4. Step 4: Simplify right side
    420,365.50x = 133,062,881,693.87
  5. Step 5: Solve for x
    x = 133,062,881,693.87/420,365.50
  6. Step 6: Final answer
    x = 316,540.92

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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.