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Finding the Fourth Proportional to 459,698.60, 689,936.70 and 207,367.40

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Solution

The fourth proportional to 459,698.60, 689,936.70 and 207,367.40 is: 311,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,698.60 : 689,936.70 = 207,367.40 : x
  2. Step 2: Convert to fraction form
    459,698.60/689,936.70 = 207,367.40/x
  3. Step 3: Cross multiply
    459,698.60x = 689,936.70 × 207,367.40
  4. Step 4: Simplify right side
    459,698.60x = 143,070,379,643.58
  5. Step 5: Solve for x
    x = 143,070,379,643.58/459,698.60
  6. Step 6: Final answer
    x = 311,226.49

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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.