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Finding the Fourth Proportional to 768,836.40, 1,153,254.60 and 686,167.80

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Solution

The fourth proportional to 768,836.40, 1,153,254.60 and 686,167.80 is: 1,029,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,836.40 : 1,153,254.60 = 686,167.80 : x
  2. Step 2: Convert to fraction form
    768,836.40/1,153,254.60 = 686,167.80/x
  3. Step 3: Cross multiply
    768,836.40x = 1,153,254.60 × 686,167.80
  4. Step 4: Simplify right side
    768,836.40x = 791,326,171,721.88
  5. Step 5: Solve for x
    x = 791,326,171,721.88/768,836.40
  6. Step 6: Final answer
    x = 1,029,251.70

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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.