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Finding the Fourth Proportional to 768,980.66, 1,152,816.67 and 469,671.21

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Solution

The fourth proportional to 768,980.66, 1,152,816.67 and 469,671.21 is: 704,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,980.66 : 1,152,816.67 = 469,671.21 : x
  2. Step 2: Convert to fraction form
    768,980.66/1,152,816.67 = 469,671.21/x
  3. Step 3: Cross multiply
    768,980.66x = 1,152,816.67 × 469,671.21
  4. Step 4: Simplify right side
    768,980.66x = 541,444,800,894.16
  5. Step 5: Solve for x
    x = 541,444,800,894.16/768,980.66
  6. Step 6: Final answer
    x = 704,107.18

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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.