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Finding the Fourth Proportional to 421,299.30, 630,964.80 and 412,842.90

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Solution

The fourth proportional to 421,299.30, 630,964.80 and 412,842.90 is: 618,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,299.30 : 630,964.80 = 412,842.90 : x
  2. Step 2: Convert to fraction form
    421,299.30/630,964.80 = 412,842.90/x
  3. Step 3: Cross multiply
    421,299.30x = 630,964.80 × 412,842.90
  4. Step 4: Simplify right side
    421,299.30x = 260,489,337,829.92
  5. Step 5: Solve for x
    x = 260,489,337,829.92/421,299.30
  6. Step 6: Final answer
    x = 618,299.95

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1.5x scale

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.