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Finding the Fourth Proportional to 459,701.10, 689,940.46 and 207,369.90

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Solution

The fourth proportional to 459,701.10, 689,940.46 and 207,369.90 is: 311,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,701.10 : 689,940.46 = 207,369.90 : x
  2. Step 2: Convert to fraction form
    459,701.10/689,940.46 = 207,369.90/x
  3. Step 3: Cross multiply
    459,701.10x = 689,940.46 × 207,369.90
  4. Step 4: Simplify right side
    459,701.10x = 143,072,884,196.15
  5. Step 5: Solve for x
    x = 143,072,884,196.15/459,701.10
  6. Step 6: Final answer
    x = 311,230.24

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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.