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Finding the Fourth Proportional to 469,228.68, 648,069.84 and 318,063.24

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Solution

The fourth proportional to 469,228.68, 648,069.84 and 318,063.24 is: 439,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,228.68 : 648,069.84 = 318,063.24 : x
  2. Step 2: Convert to fraction form
    469,228.68/648,069.84 = 318,063.24/x
  3. Step 3: Cross multiply
    469,228.68x = 648,069.84 × 318,063.24
  4. Step 4: Simplify right side
    469,228.68x = 206,127,193,056.68
  5. Step 5: Solve for x
    x = 206,127,193,056.68/469,228.68
  6. Step 6: Final answer
    x = 439,289.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.