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Finding the Fourth Proportional to 420,445, 580,226.40 and 229,470.64

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Solution

The fourth proportional to 420,445, 580,226.40 and 229,470.64 is: 316,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,445 : 580,226.40 = 229,470.64 : x
  2. Step 2: Convert to fraction form
    420,445/580,226.40 = 229,470.64/x
  3. Step 3: Cross multiply
    420,445x = 580,226.40 × 229,470.64
  4. Step 4: Simplify right side
    420,445x = 133,144,923,352.90
  5. Step 5: Solve for x
    x = 133,144,923,352.90/420,445
  6. Step 6: Final answer
    x = 316,676.20

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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.