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Finding the Fourth Proportional to 614,220, 921,457.44 and 259,236.96

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Solution

The fourth proportional to 614,220, 921,457.44 and 259,236.96 is: 388,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,220 : 921,457.44 = 259,236.96 : x
  2. Step 2: Convert to fraction form
    614,220/921,457.44 = 259,236.96/x
  3. Step 3: Cross multiply
    614,220x = 921,457.44 × 259,236.96
  4. Step 4: Simplify right side
    614,220x = 238,875,825,514.98
  5. Step 5: Solve for x
    x = 238,875,825,514.98/614,220
  6. Step 6: Final answer
    x = 388,909.23

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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.