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Finding the Fourth Proportional to 524,978.20, 788,259.30 and 419,483.80

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Solution

The fourth proportional to 524,978.20, 788,259.30 and 419,483.80 is: 629,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,978.20 : 788,259.30 = 419,483.80 : x
  2. Step 2: Convert to fraction form
    524,978.20/788,259.30 = 419,483.80/x
  3. Step 3: Cross multiply
    524,978.20x = 788,259.30 × 419,483.80
  4. Step 4: Simplify right side
    524,978.20x = 330,662,006,549.34
  5. Step 5: Solve for x
    x = 330,662,006,549.34/524,978.20
  6. Step 6: Final answer
    x = 629,858.55

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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.