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Finding the Fourth Proportional to 630,830.80, 946,464.90 and 276,099.40

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Solution

The fourth proportional to 630,830.80, 946,464.90 and 276,099.40 is: 414,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,830.80 : 946,464.90 = 276,099.40 : x
  2. Step 2: Convert to fraction form
    630,830.80/946,464.90 = 276,099.40/x
  3. Step 3: Cross multiply
    630,830.80x = 946,464.90 × 276,099.40
  4. Step 4: Simplify right side
    630,830.80x = 261,318,391,011.06
  5. Step 5: Solve for x
    x = 261,318,391,011.06/630,830.80
  6. Step 6: Final answer
    x = 414,244.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.