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Finding the Fourth Proportional to 420,563.32, 580,355.32 and 229,539.64

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Solution

The fourth proportional to 420,563.32, 580,355.32 and 229,539.64 is: 316,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,563.32 : 580,355.32 = 229,539.64 : x
  2. Step 2: Convert to fraction form
    420,563.32/580,355.32 = 229,539.64/x
  3. Step 3: Cross multiply
    420,563.32x = 580,355.32 × 229,539.64
  4. Step 4: Simplify right side
    420,563.32x = 133,214,551,224.89
  5. Step 5: Solve for x
    x = 133,214,551,224.89/420,563.32
  6. Step 6: Final answer
    x = 316,752.66

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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.