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Finding the Fourth Proportional to 768,959.36, 1,152,784.72 and 469,649.90

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Solution

The fourth proportional to 768,959.36, 1,152,784.72 and 469,649.90 is: 704,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,959.36 : 1,152,784.72 = 469,649.90 : x
  2. Step 2: Convert to fraction form
    768,959.36/1,152,784.72 = 469,649.90/x
  3. Step 3: Cross multiply
    768,959.36x = 1,152,784.72 × 469,649.90
  4. Step 4: Simplify right side
    768,959.36x = 541,405,228,469.53
  5. Step 5: Solve for x
    x = 541,405,228,469.53/768,959.36
  6. Step 6: Final answer
    x = 704,075.22

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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.