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Finding the Fourth Proportional to 684,240, 944,280.36 and 382,434

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Solution

The fourth proportional to 684,240, 944,280.36 and 382,434 is: 527,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,240 : 944,280.36 = 382,434 : x
  2. Step 2: Convert to fraction form
    684,240/944,280.36 = 382,434/x
  3. Step 3: Cross multiply
    684,240x = 944,280.36 × 382,434
  4. Step 4: Simplify right side
    684,240x = 361,124,915,196.24
  5. Step 5: Solve for x
    x = 361,124,915,196.24/684,240
  6. Step 6: Final answer
    x = 527,775.22

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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.