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Finding the Fourth Proportional to 684,246, 944,288.64 and 382,440

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Solution

The fourth proportional to 684,246, 944,288.64 and 382,440 is: 527,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,246 : 944,288.64 = 382,440 : x
  2. Step 2: Convert to fraction form
    684,246/944,288.64 = 382,440/x
  3. Step 3: Cross multiply
    684,246x = 944,288.64 × 382,440
  4. Step 4: Simplify right side
    684,246x = 361,133,747,481.60
  5. Step 5: Solve for x
    x = 361,133,747,481.60/684,246
  6. Step 6: Final answer
    x = 527,783.50

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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.