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Finding the Fourth Proportional to 289,705.40, 434,558.10 and 210,447.80

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Solution

The fourth proportional to 289,705.40, 434,558.10 and 210,447.80 is: 315,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,705.40 : 434,558.10 = 210,447.80 : x
  2. Step 2: Convert to fraction form
    289,705.40/434,558.10 = 210,447.80/x
  3. Step 3: Cross multiply
    289,705.40x = 434,558.10 × 210,447.80
  4. Step 4: Simplify right side
    289,705.40x = 91,451,796,117.18
  5. Step 5: Solve for x
    x = 91,451,796,117.18/289,705.40
  6. Step 6: Final answer
    x = 315,671.70

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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.