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Finding the Fourth Proportional to 420,560.30, 580,511.61 and 334,676.81

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Solution

The fourth proportional to 420,560.30, 580,511.61 and 334,676.81 is: 461,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,560.30 : 580,511.61 = 334,676.81 : x
  2. Step 2: Convert to fraction form
    420,560.30/580,511.61 = 334,676.81/x
  3. Step 3: Cross multiply
    420,560.30x = 580,511.61 × 334,676.81
  4. Step 4: Simplify right side
    420,560.30x = 194,283,775,254.04
  5. Step 5: Solve for x
    x = 194,283,775,254.04/420,560.30
  6. Step 6: Final answer
    x = 461,964.13

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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.