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Finding the Fourth Proportional to 459,164.10, 688,843.35 and 139,289.70

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Solution

The fourth proportional to 459,164.10, 688,843.35 and 139,289.70 is: 208,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,164.10 : 688,843.35 = 139,289.70 : x
  2. Step 2: Convert to fraction form
    459,164.10/688,843.35 = 139,289.70/x
  3. Step 3: Cross multiply
    459,164.10x = 688,843.35 × 139,289.70
  4. Step 4: Simplify right side
    459,164.10x = 95,948,783,568.50
  5. Step 5: Solve for x
    x = 95,948,783,568.50/459,164.10
  6. Step 6: Final answer
    x = 208,964.04

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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.