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Finding the Fourth Proportional to 768,752.96, 1,152,473.34 and 543,404.48

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Solution

The fourth proportional to 768,752.96, 1,152,473.34 and 543,404.48 is: 814,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,752.96 : 1,152,473.34 = 543,404.48 : x
  2. Step 2: Convert to fraction form
    768,752.96/1,152,473.34 = 543,404.48/x
  3. Step 3: Cross multiply
    768,752.96x = 1,152,473.34 × 543,404.48
  4. Step 4: Simplify right side
    768,752.96x = 626,259,176,036.56
  5. Step 5: Solve for x
    x = 626,259,176,036.56/768,752.96
  6. Step 6: Final answer
    x = 814,642.95

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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.