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Finding the Fourth Proportional to 420,589.64, 580,423.65 and 229,604.47

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Solution

The fourth proportional to 420,589.64, 580,423.65 and 229,604.47 is: 316,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,589.64 : 580,423.65 = 229,604.47 : x
  2. Step 2: Convert to fraction form
    420,589.64/580,423.65 = 229,604.47/x
  3. Step 3: Cross multiply
    420,589.64x = 580,423.65 × 229,604.47
  4. Step 4: Simplify right side
    420,589.64x = 133,267,864,533.72
  5. Step 5: Solve for x
    x = 133,267,864,533.72/420,589.64
  6. Step 6: Final answer
    x = 316,859.60

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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.