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Finding the Fourth Proportional to 684,312, 944,330.94 and 378,383.04

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Solution

The fourth proportional to 684,312, 944,330.94 and 378,383.04 is: 522,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,312 : 944,330.94 = 378,383.04 : x
  2. Step 2: Convert to fraction form
    684,312/944,330.94 = 378,383.04/x
  3. Step 3: Cross multiply
    684,312x = 944,330.94 × 378,383.04
  4. Step 4: Simplify right side
    684,312x = 357,318,811,843.26
  5. Step 5: Solve for x
    x = 357,318,811,843.26/684,312
  6. Step 6: Final answer
    x = 522,157.75

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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.