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Finding the Fourth Proportional to 857,709, 1,286,304.30 and 258,620.04

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Solution

The fourth proportional to 857,709, 1,286,304.30 and 258,620.04 is: 387,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,709 : 1,286,304.30 = 258,620.04 : x
  2. Step 2: Convert to fraction form
    857,709/1,286,304.30 = 258,620.04/x
  3. Step 3: Cross multiply
    857,709x = 1,286,304.30 × 258,620.04
  4. Step 4: Simplify right side
    857,709x = 332,664,069,518.17
  5. Step 5: Solve for x
    x = 332,664,069,518.17/857,709
  6. Step 6: Final answer
    x = 387,851.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.