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Finding the Fourth Proportional to 457,871.20, 686,806.80 and 394,885.60

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Solution

The fourth proportional to 457,871.20, 686,806.80 and 394,885.60 is: 592,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,871.20 : 686,806.80 = 394,885.60 : x
  2. Step 2: Convert to fraction form
    457,871.20/686,806.80 = 394,885.60/x
  3. Step 3: Cross multiply
    457,871.20x = 686,806.80 × 394,885.60
  4. Step 4: Simplify right side
    457,871.20x = 271,210,115,302.08
  5. Step 5: Solve for x
    x = 271,210,115,302.08/457,871.20
  6. Step 6: Final answer
    x = 592,328.40

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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.