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Finding the Fourth Proportional to 614,241.90, 921,573 and 374,835.78

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Solution

The fourth proportional to 614,241.90, 921,573 and 374,835.78 is: 562,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,241.90 : 921,573 = 374,835.78 : x
  2. Step 2: Convert to fraction form
    614,241.90/921,573 = 374,835.78/x
  3. Step 3: Cross multiply
    614,241.90x = 921,573 × 374,835.78
  4. Step 4: Simplify right side
    614,241.90x = 345,438,534,281.94
  5. Step 5: Solve for x
    x = 345,438,534,281.94/614,241.90
  6. Step 6: Final answer
    x = 562,381.91

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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.