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Finding the Fourth Proportional to 700,306.54, 966,409.91 and 428,354.46

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Solution

The fourth proportional to 700,306.54, 966,409.91 and 428,354.46 is: 591,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,306.54 : 966,409.91 = 428,354.46 : x
  2. Step 2: Convert to fraction form
    700,306.54/966,409.91 = 428,354.46/x
  3. Step 3: Cross multiply
    700,306.54x = 966,409.91 × 428,354.46
  4. Step 4: Simplify right side
    700,306.54x = 413,965,995,960.28
  5. Step 5: Solve for x
    x = 413,965,995,960.28/700,306.54
  6. Step 6: Final answer
    x = 591,121.13

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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.