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Finding the Fourth Proportional to 614,790, 921,684.42 and 412,594.56

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Solution

The fourth proportional to 614,790, 921,684.42 and 412,594.56 is: 618,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,790 : 921,684.42 = 412,594.56 : x
  2. Step 2: Convert to fraction form
    614,790/921,684.42 = 412,594.56/x
  3. Step 3: Cross multiply
    614,790x = 921,684.42 × 412,594.56
  4. Step 4: Simplify right side
    614,790x = 380,281,977,728.76
  5. Step 5: Solve for x
    x = 380,281,977,728.76/614,790
  6. Step 6: Final answer
    x = 618,555.89

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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.