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Finding the Fourth Proportional to 768,033.60, 1,153,432.80 and 557,908.80

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Solution

The fourth proportional to 768,033.60, 1,153,432.80 and 557,908.80 is: 837,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,033.60 : 1,153,432.80 = 557,908.80 : x
  2. Step 2: Convert to fraction form
    768,033.60/1,153,432.80 = 557,908.80/x
  3. Step 3: Cross multiply
    768,033.60x = 1,153,432.80 × 557,908.80
  4. Step 4: Simplify right side
    768,033.60x = 643,510,309,328.64
  5. Step 5: Solve for x
    x = 643,510,309,328.64/768,033.60
  6. Step 6: Final answer
    x = 837,867.39

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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.