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Finding the Fourth Proportional to 684,160, 944,169.96 and 382,354

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Solution

The fourth proportional to 684,160, 944,169.96 and 382,354 is: 527,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,160 : 944,169.96 = 382,354 : x
  2. Step 2: Convert to fraction form
    684,160/944,169.96 = 382,354/x
  3. Step 3: Cross multiply
    684,160x = 944,169.96 × 382,354
  4. Step 4: Simplify right side
    684,160x = 361,007,160,885.84
  5. Step 5: Solve for x
    x = 361,007,160,885.84/684,160
  6. Step 6: Final answer
    x = 527,664.82

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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.