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Finding the Fourth Proportional to 684,396.81, 944,429.90 and 378,455.49

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Solution

The fourth proportional to 684,396.81, 944,429.90 and 378,455.49 is: 522,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,396.81 : 944,429.90 = 378,455.49 : x
  2. Step 2: Convert to fraction form
    684,396.81/944,429.90 = 378,455.49/x
  3. Step 3: Cross multiply
    684,396.81x = 944,429.90 × 378,455.49
  4. Step 4: Simplify right side
    684,396.81x = 357,424,678,682.87
  5. Step 5: Solve for x
    x = 357,424,678,682.87/684,396.81
  6. Step 6: Final answer
    x = 522,247.73

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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.