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Finding the Fourth Proportional to 420,376.80, 580,109.04 and 229,392.48

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Solution

The fourth proportional to 420,376.80, 580,109.04 and 229,392.48 is: 316,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,376.80 : 580,109.04 = 229,392.48 : x
  2. Step 2: Convert to fraction form
    420,376.80/580,109.04 = 229,392.48/x
  3. Step 3: Cross multiply
    420,376.80x = 580,109.04 × 229,392.48
  4. Step 4: Simplify right side
    420,376.80x = 133,072,651,356.02
  5. Step 5: Solve for x
    x = 133,072,651,356.02/420,376.80
  6. Step 6: Final answer
    x = 316,555.65

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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.