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Finding the Fourth Proportional to 420,406.40, 580,162.91 and 229,423.79

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Solution

The fourth proportional to 420,406.40, 580,162.91 and 229,423.79 is: 316,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,406.40 : 580,162.91 = 229,423.79 : x
  2. Step 2: Convert to fraction form
    420,406.40/580,162.91 = 229,423.79/x
  3. Step 3: Cross multiply
    420,406.40x = 580,162.91 × 229,423.79
  4. Step 4: Simplify right side
    420,406.40x = 133,103,173,932.92
  5. Step 5: Solve for x
    x = 133,103,173,932.92/420,406.40
  6. Step 6: Final answer
    x = 316,605.96

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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.