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Finding the Fourth Proportional to 768,752.64, 1,152,574.56 and 469,162.80

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Solution

The fourth proportional to 768,752.64, 1,152,574.56 and 469,162.80 is: 703,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,752.64 : 1,152,574.56 = 469,162.80 : x
  2. Step 2: Convert to fraction form
    768,752.64/1,152,574.56 = 469,162.80/x
  3. Step 3: Cross multiply
    768,752.64x = 1,152,574.56 × 469,162.80
  4. Step 4: Simplify right side
    768,752.64x = 540,745,107,778.37
  5. Step 5: Solve for x
    x = 540,745,107,778.37/768,752.64
  6. Step 6: Final answer
    x = 703,405.85

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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.