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Finding the Fourth Proportional to 420,878, 580,808.20 and 229,891.44

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Solution

The fourth proportional to 420,878, 580,808.20 and 229,891.44 is: 317,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,878 : 580,808.20 = 229,891.44 : x
  2. Step 2: Convert to fraction form
    420,878/580,808.20 = 229,891.44/x
  3. Step 3: Cross multiply
    420,878x = 580,808.20 × 229,891.44
  4. Step 4: Simplify right side
    420,878x = 133,522,833,461.81
  5. Step 5: Solve for x
    x = 133,522,833,461.81/420,878
  6. Step 6: Final answer
    x = 317,248.31

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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.