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Finding the Fourth Proportional to 419,698.46, 629,314.40 and 170,088.86

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Solution

The fourth proportional to 419,698.46, 629,314.40 and 170,088.86 is: 255,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,698.46 : 629,314.40 = 170,088.86 : x
  2. Step 2: Convert to fraction form
    419,698.46/629,314.40 = 170,088.86/x
  3. Step 3: Cross multiply
    419,698.46x = 629,314.40 × 170,088.86
  4. Step 4: Simplify right side
    419,698.46x = 107,039,368,877.58
  5. Step 5: Solve for x
    x = 107,039,368,877.58/419,698.46
  6. Step 6: Final answer
    x = 255,038.75

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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.