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Finding the Fourth Proportional to 614,318.07, 921,414.82 and 164,980.56

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Solution

The fourth proportional to 614,318.07, 921,414.82 and 164,980.56 is: 247,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,318.07 : 921,414.82 = 164,980.56 : x
  2. Step 2: Convert to fraction form
    614,318.07/921,414.82 = 164,980.56/x
  3. Step 3: Cross multiply
    614,318.07x = 921,414.82 × 164,980.56
  4. Step 4: Simplify right side
    614,318.07x = 152,015,533,040.88
  5. Step 5: Solve for x
    x = 152,015,533,040.88/614,318.07
  6. Step 6: Final answer
    x = 247,454.11

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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.