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Finding the Fourth Proportional to 420,429, 580,204.32 and 229,454.64

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Solution

The fourth proportional to 420,429, 580,204.32 and 229,454.64 is: 316,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,429 : 580,204.32 = 229,454.64 : x
  2. Step 2: Convert to fraction form
    420,429/580,204.32 = 229,454.64/x
  3. Step 3: Cross multiply
    420,429x = 580,204.32 × 229,454.64
  4. Step 4: Simplify right side
    420,429x = 133,130,573,372.05
  5. Step 5: Solve for x
    x = 133,130,573,372.05/420,429
  6. Step 6: Final answer
    x = 316,654.12

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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.