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Finding the Fourth Proportional to 684,234, 944,272.08 and 382,428

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Solution

The fourth proportional to 684,234, 944,272.08 and 382,428 is: 527,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,234 : 944,272.08 = 382,428 : x
  2. Step 2: Convert to fraction form
    684,234/944,272.08 = 382,428/x
  3. Step 3: Cross multiply
    684,234x = 944,272.08 × 382,428
  4. Step 4: Simplify right side
    684,234x = 361,116,083,010.24
  5. Step 5: Solve for x
    x = 361,116,083,010.24/684,234
  6. Step 6: Final answer
    x = 527,766.94

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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.